Numerical methods based on radial basis function-generated finite difference (RBF-FD) for solution of GKdVB equation

DOI10.1016/j.wavemoti.2019.05.006OpenAlexW2946776738MaRDI QIDQ781493

Mohammad Navaz Rasoulizadeh, Jalil Rashidinia

Publication date: 17 July 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2019.05.006

zbMATH Keywords

finite difference(FD) methodGKdVB equationnumerical illustrationsRBF collocation methodRBF-FD method

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (18)

Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation ⋮ The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation ⋮ Numerical solutions of strongly non-linear generalized Burgers–Fisher equation via meshfree spectral technique ⋮ Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments ⋮ Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics ⋮ Local radial basis function-finite difference based algorithms for singularly perturbed Burgers' model ⋮ A meshfree method with a non-overlapping domain decomposition method based on TPS for solving the forward-backward heat equation in two-dimension ⋮ A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations ⋮ Solution of Kawahara equation using a predictor-corrector and RBF-QR method ⋮ A second order convergent difference scheme for the initial‐boundary value problem of Korteweg–de Vires equation ⋮ Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions ⋮ Numerical study of Fisher's equation by the RBF-FD method ⋮ An efficient local meshless method for the equal width equation in fluid mechanics ⋮ Hybrid radial basis function methods of lines for the numerical solution of viscous Burgers' equation ⋮ Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods ⋮ Numerical investigation of the nonlinear modified anomalous diffusion process ⋮ A difference method with intrinsic parallelism for the variable-coefficient compound KdV-Burgers equation ⋮ Different solution strategy for solving type-2 fuzzy system of differential equations with application in arms race model

Uses Software

• Matlab
• k-D tree
• rbf_qr

Cites Work

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