Academic literature on the topic 'RUNGE-KUTTA FOURTH ORDER METHOD'
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Journal articles on the topic "RUNGE-KUTTA FOURTH ORDER METHOD"
Suryani, Irma, Wartono Wartono, and Yuslenita Muda. "Modification of Fourth order Runge-Kutta Method for Kutta Form With Geometric Means." Kubik: Jurnal Publikasi Ilmiah Matematika 4, no. 2 (February 25, 2020): 221–30. http://dx.doi.org/10.15575/kubik.v4i2.6425.
Full textTrifina, Leonora L. R., Ali Warsito, Laura A. S. Lapono, and Andreas Ch Louk. "VISUALISASI FENOMENA HARMONIS DAN CHAOS PADA GETARAN TERGANDENG BERBASIS KOMPUTASI NUMERIK RUNGE KUTTA." Jurnal Fisika : Fisika Sains dan Aplikasinya 8, no. 1 (April 27, 2023): 11–20. http://dx.doi.org/10.35508/fisa.v8i1.11817.
Full textHusin, Nurain Zulaikha, Muhammad Zaini Ahmad, and Mohd Kamalrulzaman Md Akhir. "Incorporating Fuzziness in the Traditional Runge–Kutta Cash–Karp Method and Its Applications to Solve Autonomous and Non-Autonomous Fuzzy Differential Equations." Mathematics 10, no. 24 (December 8, 2022): 4659. http://dx.doi.org/10.3390/math10244659.
Full textRijoly, Monalisa E., and Francis Yunito Rumlawang. "Penyelesaian Numerik Persamaan Diferensial Orde Dua Dengan Metode Runge-Kutta Orde Empat Pada Rangkaian Listrik Seri LC." Tensor: Pure and Applied Mathematics Journal 1, no. 1 (May 28, 2020): 7–14. http://dx.doi.org/10.30598/tensorvol1iss1pp7-14.
Full textHussain, Kasim, Fudziah Ismail, and Norazak Senu. "Runge-Kutta Type Methods for Directly Solving Special Fourth-Order Ordinary Differential Equations." Mathematical Problems in Engineering 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/893763.
Full textHussain, Kasim A., and Waleed J. Hasan. "Improved Runge-Kutta Method for Oscillatory Problem Solution Using Trigonometric Fitting Approach." Ibn AL-Haitham Journal For Pure and Applied Sciences 36, no. 1 (January 20, 2023): 345–54. http://dx.doi.org/10.30526/36.1.2963.
Full textZhou, Naying, Hongxing Zhang, Wenfang Liu, and Xin Wu. "A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes." Astrophysical Journal 927, no. 2 (March 1, 2022): 160. http://dx.doi.org/10.3847/1538-4357/ac497f.
Full textChauhan, Vijeyata, and Pankaj Kumar Srivastava. "Computational Techniques Based on Runge-Kutta Method of Various Order and Type for Solving Differential Equations." International Journal of Mathematical, Engineering and Management Sciences 4, no. 2 (April 1, 2019): 375–86. http://dx.doi.org/10.33889/ijmems.2019.4.2-030.
Full textChristopher, Dr Esekhaigbe Aigbedion. "Consistency and Convergence Analysis of an 𝐹(𝑥,𝑦) Functionally Derived Explicit Fifth-Stage Fourth-Order Runge-Kutta Method." International Journal of Basic Sciences and Applied Computing 10, no. 4 (December 30, 2022): 10–13. http://dx.doi.org/10.35940/ijbsac.a1145.1210423.
Full textAhmad, S. Z., F. Ismail, N. Senu, and M. Suleiman. "Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems." Abstract and Applied Analysis 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/136961.
Full textDissertations / Theses on the topic "RUNGE-KUTTA FOURTH ORDER METHOD"
Boat, Matthew. "The time-domain numerical solution of Maxwell's electromagnetic equations, via the fourth order Runge-Kutta discontinuous Galerkin method." Thesis, Swansea University, 2008. https://cronfa.swan.ac.uk/Record/cronfa42532.
Full textAuffredic, Jérémy. "A second order Runge–Kutta method for the Gatheral model." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-49170.
Full textBooth, Andrew S. "Collocation methods for a class of second order initial value problems with oscillatory solutions." Thesis, Durham University, 1993. http://etheses.dur.ac.uk/5664/.
Full textMalroy, Eric Thomas. "Solution of the ideal adiabatic stirling model with coupled first order differential equations by the Pasic method." Ohio : Ohio University, 1998. http://www.ohiolink.edu/etd/view.cgi?ohiou1176410606.
Full textAlhojilan, Yazid Yousef M. "Higher-order numerical scheme for solving stochastic differential equations." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/15973.
Full textJewell, Jeffrey Steven. "Higher-order Runge--Kutta type schemes based on the Method of Characteristics for hyperbolic equations with crossing characteristics." ScholarWorks @ UVM, 2019. https://scholarworks.uvm.edu/graddis/1028.
Full textKUMAR, PRADEEP. "COVID-19 USING NUMERICAL METHOD." Thesis, 2021. http://dspace.dtu.ac.in:8080/jspui/handle/repository/20443.
Full textMeng-HanLi and 李孟翰. "A High-Order Runge-Kutta Discontinuous Galerkin Method for The Two-Dimensional Wave Equation." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/60562488311569777411.
Full text國立成功大學
數學系應用數學碩博士班
98
In this work, we develop a high-order Runge-Kutta Discontinuous Galerkin (RKDG) method to solve the two-dimensional wave equations. We use DG methods to discretize the equations with high order elements in space, and then we use the mth-order, m-stage strong stability preserving Runge-Kutta (SSP-RK) scheme to solve the resulting semi-discrete equations. To discretize the equaiotns in spaces, we use the quadrilateral elements and the Q^k-polynomials as basis functions. The scheme achieves full high-order convergence in time and space while keeping the time-step proportional to the spatial mesh-size. Numerical results are presented that confirm the expected convergence properties. When all the local spaces contain the polynomials of degree p,the numerical experiments show that the numerical solution converges with order p+1.
Kotovshchikova, Marina. "On a third-order FVTD scheme for three-dimensional Maxwell's Equations." 2016. http://hdl.handle.net/1993/31035.
Full textFebruary 2016
Books on the topic "RUNGE-KUTTA FOURTH ORDER METHOD"
National Institute of Standards and Technology (U.S.), ed. Parallelizing a fourth-order Runge-Kutta method. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1997.
Find full textNational Institute of Standards and Technology (U.S.), ed. Parallelizing a fourth-order Runge-Kutta method. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1997.
Find full textNational Institute of Standards and Technology (U.S.), ed. Parallelizing a fourth-order Runge-Kutta method. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1997.
Find full textNational Institute of Standards and Technology (U.S.), ed. Parallelizing a fourth-order Runge-Kutta method. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1997.
Find full textNational Institute of Standards and Technology (U.S.), ed. Parallelizing a fourth-order Runge-Kutta method. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1997.
Find full textNational Institute of Standards and Technology (U.S.), ed. Parallelizing a fourth-order Runge-Kutta method. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1997.
Find full textNational Institute of Standards and Technology (U.S.), ed. Parallelizing a fourth-order Runge-Kutta method. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1997.
Find full textCarpenter, Mark H. Fourth-order 2N-storage Runge-Kutta schemes. Hampton, Va: Langley Research Center, 1994.
Find full textA, Kennedy Christopher, and Langley Research Center, eds. Fourth-order 2N Runge-Kutta schemes. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.
Find full textA, Kennedy Christopher, and Langley Research Center, eds. Fourth-order 2N Runge-Kutta schemes. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.
Find full textBook chapters on the topic "RUNGE-KUTTA FOURTH ORDER METHOD"
Liu, Chunfeng, Haiming Wu, Li Feng, and Aimin Yang. "Parallel Fourth-Order Runge-Kutta Method to Solve Differential Equations." In Information Computing and Applications, 192–99. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-25255-6_25.
Full textZhang, Baoji, and Lupeng Fu. "Study on the Analysis Method of Ship Surf-Riding/Broaching Based on Maneuvering Equations." In Proceeding of 2021 International Conference on Wireless Communications, Networking and Applications, 569–75. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-2456-9_58.
Full textAbadi, Maryam Asghari Hemmat, and Bing Yuan Cao. "Solving First Order Fuzzy Initial Value Problem by Fourth Order Runge-Kutta Method Based on Different Means." In Advances in Intelligent Systems and Computing, 356–69. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66514-6_36.
Full textBen Amma, B., Said Melliani, and L. S. Chadli. "A Fourth Order Runge-Kutta Gill Method for the Numerical Solution of Intuitionistic Fuzzy Differential Equations." In Recent Advances in Intuitionistic Fuzzy Logic Systems, 55–68. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02155-9_5.
Full textGriffiths, David F., and Desmond J. Higham. "Runge–Kutta Method—I: Order Conditions." In Numerical Methods for Ordinary Differential Equations, 123–34. London: Springer London, 2010. http://dx.doi.org/10.1007/978-0-85729-148-6_9.
Full textRabiei, Faranak, Fudziah Ismail, Norihan Arifin, and Saeid Emadi. "Third Order Accelerated Runge-Kutta Nyström Method for Solving Second-Order Ordinary Differential Equations." In Informatics Engineering and Information Science, 204–9. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-25462-8_17.
Full textEremin, Alexey S., Nikolai A. Kovrizhnykh, and Igor V. Olemskoy. "Economical Sixth Order Runge–Kutta Method for Systems of Ordinary Differential Equations." In Computational Science and Its Applications – ICCSA 2019, 89–102. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-24289-3_8.
Full textSundnes, Joakim. "Stable Solvers for Stiff ODE Systems." In Solving Ordinary Differential Equations in Python, 35–60. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-46768-4_3.
Full textBen Amma, Bouchra, Said Melliani, and S. Chadli. "The Numerical Solution of Intuitionistic Fuzzy Differential Equations by the Third Order Runge-Kutta Nyström Method." In Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications, 119–32. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-35445-9_11.
Full textSawhney, Himanshu, Kedar S. Pakhare, Rameshchandra P. Shimpi, P. J. Guruprasad, and Yogesh M. Desai. "Single Variable New First-Order Shear Deformation Plate Theory: Numerical Solutions of Lévy-Type Plates Using Fourth-Order Runge-Kutta Technique." In Recent Advances in Computational Mechanics and Simulations, 477–85. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-8315-5_40.
Full textConference papers on the topic "RUNGE-KUTTA FOURTH ORDER METHOD"
You, Xiong, Xinmeng Yao, and Xin Shu. "An Optimized Fourth Order Runge-Kutta Method." In 2010 Third International Conference on Information and Computing Science (ICIC). IEEE, 2010. http://dx.doi.org/10.1109/icic.2010.195.
Full textNurhakim, Abdurrahman, Nanang Ismail, Hendri Maja Saputra, and Saepul Uyun. "Modified Fourth-Order Runge-Kutta Method Based on Trapezoid Approach." In 2018 4th International Conference on Wireless and Telematics (ICWT). IEEE, 2018. http://dx.doi.org/10.1109/icwt.2018.8527811.
Full textHussain, Kasim, Fudziah Ismail, Norazak Senu, and Faranak Rabiei. "Optimized fourth-order Runge-Kutta method for solving oscillatory problems." In INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4952512.
Full textKalogiratou, Z., Th Monovasilis, and T. E. Simos. "A fourth order modified trigonometrically fitted symplectic Runge-Kutta-Nyström method." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825719.
Full textAbel Mejía Marcacuzco, Jesús, and Edwin Pino Vargas. "Computation of Gradually Varied Flow by Fourth Order Runge-Kutta Method (SRK)." In 38th IAHR World Congress. The International Association for Hydro-Environment Engineering and Research (IAHR), 2019. http://dx.doi.org/10.3850/38wc092019-0999.
Full textWing, Moo Kwong, Norazak Senu, Fudziah Ismail, and Mohamed Suleiman. "A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems." In PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Research in Mathematical Sciences: A Catalyst for Creativity and Innovation. AIP, 2013. http://dx.doi.org/10.1063/1.4801141.
Full textRabiei, Faranak, and Fudziah Ismail. "Fourth order 4-stages improved Runge-Kutta method with minimized error norm." In STATISTICS AND OPERATIONAL RESEARCH INTERNATIONAL CONFERENCE (SORIC 2013). AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4894341.
Full textTan, Jiabo. "3-Order Symplectic Runge-Kutta Method Based on Radau-Right Quadrature Formula." In 2012 Fourth International Conference on Computational and Information Sciences (ICCIS). IEEE, 2012. http://dx.doi.org/10.1109/iccis.2012.10.
Full textPu Gaojun, Liu Zhongbo, Fang Kezhao, and Kang Haigui. "Modified Boussinesq-Type Water Wave Model Based on Fourth-Order Runge-Kutta Method." In 2013 Fourth International Conference on Digital Manufacturing & Automation (ICDMA). IEEE, 2013. http://dx.doi.org/10.1109/icdma.2013.189.
Full textRabiei, Faranak, Fudziah Ismail, and Saeid Emadi. "Solving Fuzzy Differential Equation Using Fourth Order 4-stages Improved Runge-Kutta Method." In Annual International Conference on Computational Mathematics, Computational Geometry & Statistics (CMCGS 2014). GSTF, 2014. http://dx.doi.org/10.5176/2251-1911_cmcgs14.18.
Full textReports on the topic "RUNGE-KUTTA FOURTH ORDER METHOD"
Tang, Hai C. Parallelizing a fourth-order Runge-Kutta method. Gaithersburg, MD: National Institute of Standards and Technology, 1997. http://dx.doi.org/10.6028/nist.ir.6031.
Full textTrahan, Corey, Jing-Ru Cheng, and Amanda Hines. ERDC-PT : a multidimensional particle tracking model. Engineer Research and Development Center (U.S.), January 2023. http://dx.doi.org/10.21079/11681/48057.
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