Application of Meshfree Method Based on Compactly Supported Radial Basis Function for Solving Unsteady Isothermal Gas Through a Micro-Nano Porous Medium

TL;DR

This paper introduces a meshless numerical method using compactly supported radial basis functions to solve unsteady gas equations in micro-nano porous media, demonstrating accuracy and efficiency.

Contribution

The paper applies a novel meshless collocation method based on compactly supported radial basis functions to a complex unsteady gas equation, showing its effectiveness.

Findings

Results agree well with existing numerical methods

Method effectively handles boundary conditions at infinity

Provides a reliable alternative for solving non-linear differential equations

Abstract

In this paper, we have applied the Meshless method based compactly supported radial basis function collocation for obtaining the numerical solution of unsteady gas equation. The unsteady gas equation is a second order non-linear two-point boundary value ordinary differential equation on the semi-infinite domain, with a boundary condition in the infinite. The compactly supported radial basis function collocation method reduces the solution of the equation to the solution of a system of algebraic equation. also, we compare the results of this work with some results. It is found that our results agree well with those by the numerical method, which verifies the validity of the present work