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International Journal of Computer Mathematics Volume 98, 2021 - Issue 6
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Original Articles

A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equation

H. P. Bhatta Department of Mathematics, Utah Valley University, Orem, UT, USACorrespondence[email protected]
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A. Chowdhuryb Department of Mathematics, Savannah State University, Savannah, GA, USAView further author information
Pages 1254-1273 | Received 10 Jul 2020, Accepted 14 Aug 2020, Published online: 11 Sep 2020

Citations (9)

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H. P. Bhatt. (2023) Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives. International Journal of Computer Mathematics 100:1, pages 47-68.
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Articles from other publishers (8)

Conggang Liang, Dongyang Shi & Longfei Guo. (2024) Superconvergence analysis of a two-grid BDF2-FEM for nonlinear dispersive wave equation. Applied Numerical Mathematics 201, pages 419-430.
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Caojie Li, Haixiang Zhang & Xuehua Yang. (2024) A new nonlinear compact difference scheme for a fourth-order nonlinear Burgers type equation with a weakly singular kernel. Journal of Applied Mathematics and Computing.
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Bewar A Mahmood, Shko A Tahir & Karwan H F Jwamer. (2023) An efficient scheme for solving nonlinear generalized kuramoto-sivashinksy processes. Physica Scripta 98:10, pages 105235.
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Bewar A. Mahmood, Karwan H. F. Jwamer & Shko A. Tahir. (2023) A new hybrid technique based on nonpolynomial splines and finite differences for solving the Kuramoto–Sivashinsky equation. AIP Advances 13:6.
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Archna Kumari & Vijay Kumar Kukreja. (2023) Study of 4 order Kuramoto-Sivashinsky equation by septic Hermite collocation method. Applied Numerical Mathematics 188, pages 88-105.
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Shunsuke Kobayashi & Shigetoshi Yazaki. (2023) Convergence of a Finite Difference Scheme for a Flame/Smoldering-Front Evolution Equation and Its Application to Wavenumber Selection. Computational Methods in Applied Mathematics 23:2, pages 545-563.
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M. N. Rasoulizadeh, Z. Avazzadeh & O. Nikan. (2022) Solitary Wave Propagation of the Generalized Kuramoto-Sivashinsky Equation in Fragmented Porous Media. International Journal of Applied and Computational Mathematics 8:5.
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Ozlem Ersoy Hepson. (2021) Numerical simulations of Kuramoto–Sivashinsky equation in reaction-diffusion via Galerkin method. Mathematical Sciences 15:2, pages 199-206.
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