Academic literature on the topic 'Petviashvili iteration'
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Journal articles on the topic "Petviashvili iteration"
Zhao, Dexu, Raghda A. M. Attia, Jian Tian, Samir A. Salama, Dianchen Lu, and Mostafa M. A. Khater. "Abundant accurate analytical and semi-analytical solutions of the positive Gardner–Kadomtsev–Petviashvili equation." Open Physics 20, no. 1 (January 1, 2022): 30–39. http://dx.doi.org/10.1515/phys-2022-0001.
Full textLakoba, T. I., and J. Yang. "A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity." Journal of Computational Physics 226, no. 2 (October 2007): 1668–92. http://dx.doi.org/10.1016/j.jcp.2007.06.009.
Full textLi, Wu, Lanre Akinyemi, Dianchen Lu, and Mostafa M. A. Khater. "Abundant Traveling Wave and Numerical Solutions of Weakly Dispersive Long Waves Model." Symmetry 13, no. 6 (June 17, 2021): 1085. http://dx.doi.org/10.3390/sym13061085.
Full textHızela, Emanullah, and Semih Küçükarslan. "Homotopy Perturbation Method for Higher Dimensional Nonlinear Evolutionary Equations." Zeitschrift für Naturforschung A 64, no. 9-10 (October 1, 2009): 568–74. http://dx.doi.org/10.1515/zna-2009-9-1005.
Full textClamond, Didier, and Denys Dutykh. "Accurate fast computation of steady two-dimensional surface gravity waves in arbitrary depth." Journal of Fluid Mechanics 844 (April 6, 2018): 491–518. http://dx.doi.org/10.1017/jfm.2018.208.
Full textPelinovsky, Dmitry E., and Yury A. Stepanyants. "Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations." SIAM Journal on Numerical Analysis 42, no. 3 (January 2004): 1110–27. http://dx.doi.org/10.1137/s0036142902414232.
Full textFrasca-Caccia, Gianluca, and Peter E. Hydon. "A New Technique for Preserving Conservation Laws." Foundations of Computational Mathematics, May 19, 2021. http://dx.doi.org/10.1007/s10208-021-09511-1.
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