A new scheme for the solution of reaction diffusion and wave propagation problems

DOI10.1016/j.apm.2014.04.060zbMath1429.65294OpenAlexW2018905102MaRDI QIDQ1634165

Y. Aharonov

Publication date: 17 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.04.060

zbMATH Keywords

wave propagationexponential decaymodified Helmholtz equationmethod of fundamental solutionmethod of particular solutionreaction diffusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (4)

Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries ⋮ A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data ⋮ Numerical solution of scalar wave equation by the modified radial integration boundary element method ⋮ Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code

Cites Work

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• A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation
• Applicability of the method of fundamental solutions
• A new investigation into regularization techniques for the method of fundamental solutions
• Dispersion free analysis of acoustic problems using the alpha finite element method
• Compact finite difference method for the fractional diffusion equation
• A boundary element approach for parabolic differential equations using a class of particular solutions
• The method of fundamental solutions for elliptic boundary value problems
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Meshless methods: An overview and recent developments
• A new method of fundamental solutions applied to nonhomogeneous elliptic problems
• Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
• Regularized meshless method analysis of the problem of obliquely incident water wave
• Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
• An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation
• A point interpolation meshless method based on radial basis functions
• Polynomial particular solutions for certain partial differential operators
• Method of fundamental solutions: singular value decomposition analysis
• A robust high‐resolution finite volume scheme for the simulation of long waves over complex domains
• The method of functional equations for the approximate solution of certain boundary value problems
• An immersed-boundary finite volume method for simulations of flow in complex geometries

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