Sinc-Muntz-Legendre collocation method for solving a class of nonlinear fractional partial differential equations

DOI10.1134/S0965542521120022OpenAlexW4225683873WikidataQ115247820 ScholiaQ115247820MaRDI QIDQ2066333

M. Shareef Ajeel, Ali R. Soheili, Morteza Gachpazan

Publication date: 14 January 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521120022

zbMATH Keywords

collocation methodsinc functionsCaputo fractional derivativefractional Muntz-Legendre polynomialsfractional partial differential equations (FPDEs)

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (1)

Accurate numerical simulations for fractional diffusion equations using spectral deferred correction methods

Uses Software

• Mittag-Leffler
• Sinc-Pack
• mlf

Cites Work

• Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions
• The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
• Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
• Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation
• A new operational matrix for solving fractional-order differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical method for the solution of special nonlinear fourth-order boundary value problems.
• Fractional-order Legendre functions for solving fractional-order differential equations
• Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
• Numerical solution of time fractional nonlinear Klein-Gordon equation using sinc-Chebyshev collocation method
• Novel simulations to the time-fractional Fisher's equation
• Legendre wavelet method for numerical solutions of partial differential equations
• Beyond Perturbation
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