The applications of fractional partial differential equations (PDEs) in diverse disciplines of science and technology have caught the attention of many researchers. This article concerned with the approximate numerical solutions of three-dimensional two- and three-term time fractional PDE models utilizing an accurate, and computationally attractive local meshless technique. Due to their tremendous advantages like ease of applicability in higher dimensions in both regular and irregular domains, the interest in meshless techniques is increasing. Test problems are considered to assess the reliability and accuracy of the proposed technique.

Meshless method based on RBFs for solving three-dimensional multiterm time-fractional PDEs arising in engineering phenomenons

Cesarano C;
2021-01-01

Abstract

The applications of fractional partial differential equations (PDEs) in diverse disciplines of science and technology have caught the attention of many researchers. This article concerned with the approximate numerical solutions of three-dimensional two- and three-term time fractional PDE models utilizing an accurate, and computationally attractive local meshless technique. Due to their tremendous advantages like ease of applicability in higher dimensions in both regular and irregular domains, the interest in meshless techniques is increasing. Test problems are considered to assess the reliability and accuracy of the proposed technique.
2021
Meshless method
Time fractional Sobolev equation
Caputo derivative
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/1745
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