Application of meshfree method based on compactly supported radial basis function for solving unsteady isothermal gas through a micro-nano porous medium. (English) Zbl 1391.76515
Summary: 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. In addition, 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.
MSC:
| 76M22 | Spectral methods applied to problems in fluid mechanics |
| 65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |
| 76N15 | Gas dynamics (general theory) |
| 76S05 | Flows in porous media; filtration; seepage |
Keywords:
unsteady gas equation; compact support radial basis functions; unsteady flow; non-linear ordinary differential equation; boundary value problemSoftware:
MatlabReferences:
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