Radial basis functions method for numerical solution of the modified equal width equation

DOI10.1080/00207160802395908zbMath1197.65122OpenAlexW2103360602MaRDI QIDQ5747701

Yılmaz Dereli

Publication date: 14 September 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802395908

zbMATH Keywords

collocationCrank-Nicolson methodmeshless methodradial basis functions methodmodified equal width equationsolitary wave motionsolitary waves interaction

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Boltzmann equations (35Q20)

Related Items (9)

Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves ⋮ A meshfree method based on the radial basis functions for solution of two-dimensional fractional evolution equation ⋮ A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions ⋮ Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation ⋮ Unnamed Item ⋮ On the selection of a good value of shape parameter in solving time-dependent partial differential equations using RBF approximation method ⋮ A meshless method on non-Fickian flows with mixing length growth in porous media based on radial basis functions: a comparative study ⋮ On estimating the curvature attributes and strain invariants of deformed surface through radial basis functions ⋮ Solving 2D reaction-diffusion equations with nonlocal boundary conditions by the RBF-MLPG method

Cites Work

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• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Solitary wave solutions of the modified equal width wave equation
• An efficient numerical scheme for Burger equation
• Solving partial differential equations by collocation using radial basis functions
• Radial basis function method for 1-D and 2-D groundwater contaminant transport modeling
• Solitary wave interactions for the modified equal width equation
• Numerical comparisons of two meshless methods using radial basis functions
• Adaptive radial basis function methods for time dependent partial differential equations
• Numerical solutions of KdV equation using radial basis functions
• The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
• Algorithms for numerical solution of the modified equal width wave equation using collocation method
• A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines
• Solitary waves for the generalized equal width (GEW) equation

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