Approximate solution of second order singular perturbed and obstacle boundary value problems using meshless method based on radial basis functions

DOI10.1007/s44198-022-00080-7OpenAlexW4296367361MaRDI QIDQ2699894

Shams Ul Arifeen, Sirajul Haq, Rahman Ullah, Ihteram Ali

Publication date: 19 April 2023

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44198-022-00080-7

zbMATH Keywords

radial basis functionsquasi-linearizationobstacle BVPssingular perturbed BVPs

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (1)

An RBF-FD method for numerical solutions of 2D diffusion-wave and diffusion equations of distributed fractional order

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Application of meshfree collocation method to a class of nonlinear partial differential equations
• The numerical solution of second-order boundary-value problems by collocation method with the Haar wavelets
• RBFs approximation method for time fractional partial differential equations
• A mesh-free method for the numerical solution of the KdV-Burgers equation
• Numerical solution of complex modified Korteweg-de Vries equation by mesh-free collocation method
• A mesh-free numerical method for solution of the family of Kuramoto-Sivashinsky equations
• Spline techniques for the numerical solution of singular perturbation problems
• On unsymmetric collocation by radial basis functions
• Rbfs approximation method for Kawahara equation
• Numerical solutions of time-fractional coupled viscous Burgers' equations using meshfree spectral method
• The meshless Kansa method for time-fractional higher order partial differential equations with constant and variable coefficients
• Selection of shape parameter in radial basis functions for solution of time-fractional Black-Scholes models
• Non-polynomial spline methods for the solution of a system of obstacle problems
• Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
• A two-step Adomian decomposition method
• Spline solutions for system of second-order boundary-value problems
• Non-polynomial sextic spline solution of singularly perturbed boundary-value problems
• An Initial-Value Technique for Singularly Perturbed Boundary Value Problems via Cubic Spline

This page was built for publication: Approximate solution of second order singular perturbed and obstacle boundary value problems using meshless method based on radial basis functions