Application of Meshfree Method Based on Compactly Supported Radial Basis Function for Solving Unsteady Isothermal Gas Through a Micro-Nano Porous Medium
This work provides a meshfree alternative for solving nonlinear boundary value problems in porous media, but it is an incremental application of an existing method to a specific problem.
The paper applies a meshfree method based on compactly supported radial basis functions to solve the unsteady isothermal gas equation in a micro-nano porous medium. The results agree well with existing numerical methods, validating the approach.
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