Electronic Resource

Using the spectral meshless radial basis functions method for solving time fractional Burgers’ equation

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This study presents a local meshless method based on radial basis functions for the numerical solution of the nonlinear time-fractional Burgers’ equation (TFBE) involving the fractional derivatives of Caputo (CFD) and Caputo–Fabrizio (CFFD). Time is discretized using the implicit finite difference scheme with
, while radial basis functions (RBFs), which do not require a mesh to approximate the solution, are used for spatial discretization. The Rubin–Graves technique is used to linearize nonlinear terms. Approximation of the existing spatial derivatives is done using central and finite difference methods, and the temporal derivatives are approximated by using the definition of Caputo and Caputo–Fabrizio derivatives. With the mentioned techniques, a system of algebraic equations is established. By comparing the results obtained from solving this system with the previous results, it is clear that the presented technique provides accurate, stable, and convergent results.

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Ketersediaan

Tidak ada salinan data

Informasi Detail

Judul Seri

Boundary Value Problems

No. Panggil

-

Penerbit

: Springer Nature., 2025

Deskripsi Fisik

Hal. 1-21

Bahasa

English

ISBN/ISSN

16872770

Klasifikasi

NONE

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

(2025) 2025:93

Subjek

Persamaan diferensial parsial fraksional;

Info Detail Spesifik

-

Pernyataan Tanggungjawab

S. Hajiollow and F. Zabihi

Versi lain/terkait

Lampiran Berkas

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