Algorithms for numerical solution of the modified equal width wave equation using collocation method

DOI10.1016/j.mcm.2006.09.012zbMath1121.65107OpenAlexW2066599454MaRDI QIDQ2643757

Bülent Saka

Publication date: 27 August 2007

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.09.012

zbMATH Keywords

solitary wavesnumerical examplessolitonscollocationquintic B-splinemodified equal width wave equationCrank-Nicolson method in time

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Higher-order nonlinear hyperbolic equations (35L75)

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Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves ⋮ Lie symmetries of generalized equal width wave equations ⋮ Numerical solutions and stability analysis for solitary waves of complex modified Korteweg–de Vries equation using Chebyshev pseudospectral methods ⋮ Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation ⋮ Unnamed Item ⋮ Radial basis functions method for numerical solution of the modified equal width equation ⋮ Numerical solution of complex modified Korteweg-de Vries equation by collocation method ⋮ The homotopy analysis method to solve the modified equal width wave equation ⋮ Numerical solution of a coupled Korteweg-de Vries equations by collocation method ⋮ Lie symmetry reductions and solitary wave solutions of modified equal width wave equation ⋮ Analytical and computational approaches on solitary wave solutions of the generalized equal width equation ⋮ Operator splitting method for numerical solution of modified equal width equation ⋮ Numerical solution of the modified equal width wave equation ⋮ Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions ⋮ Numerical solutions of the generalized equal width wave equation using the Petrov–Galerkin method ⋮ Subdomain finite element method with quartic B-splines for the modified equal width wave equation

Cites Work

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