Construction of Pseudospectral Meshless Radial Point Interpolation for Sobolev Equation with Error Analysis

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ABBASBANDY S.; SHIVANIAN E.

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Journal Paper

Paper Information

Journal: International Journal of Industrial Mathematics Year:2022 | Volume:14 | Issue:2 Page(s): 183-195

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Title

Construction of Pseudospectral Meshless Radial Point Interpolation for Sobolev Equation with Error Analysis

Author(s)

ABBASBANDY S. | SHIVANIAN E. | Issue Writer Certificate

Keywords

Pseudospectral method

Sobolev equation

Radial point interpolation (RPI)

Radial basis function

Abstract

This work studies (2D) Sobolev equations by pseudospectral meshless radial point interpolation (PSMRPI). The Sobolev equations which are arisen in the uid ow penetrating rocks, soils, or di erent viscous media do not have an exact solution except in some special cases. Approximation of highorder derivatives through operational matrices is possible. It is proved that the method is convergent and unconditionally stable. Also, the important results for the Sobolev equation are validated for the purpose of showing the ability of this technique.

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APA: Copy

ABBASBANDY, S., & SHIVANIAN, E.. (2022). Construction of Pseudospectral Meshless Radial Point Interpolation for Sobolev Equation with Error Analysis. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 14(2), 183-195. SID. https://sid.ir/paper/968898/en

Vancouver: Copy

ABBASBANDY S., SHIVANIAN E.. Construction of Pseudospectral Meshless Radial Point Interpolation for Sobolev Equation with Error Analysis. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2022;14(2):183-195. Available from: https://sid.ir/paper/968898/en

IEEE: Copy

S. ABBASBANDY, and E. SHIVANIAN, “Construction of Pseudospectral Meshless Radial Point Interpolation for Sobolev Equation with Error Analysis,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 14, no. 2, pp. 183–195, 2022, [Online]. Available: https://sid.ir/paper/968898/en

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