Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives
DOI10.1080/00207160.2022.2056411OpenAlexW4220913087WikidataQ114101707 ScholiaQ114101707MaRDI QIDQ5044136
Haniye Dehestani, Yadollah Ordokhani
Publication date: 24 October 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2022.2056411
Caputo fractional derivativeAtangana-Baleanu-Caputo fractional derivativeshifted Gegenbauer polynomialsspace-time fractional partial differential equationsmodified operational matrix
Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Cites Work
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- An efficient Chebyshev-tau method for solving the space fractional diffusion equations
- A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
- Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions
- Block pulse operational matrix method for solving fractional partial differential equation
- SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels
- Numerical approximation of fractional Burgers equation with Atangana-Baleanu derivative in Caputo sense
- Operational matrix for Atangana-Baleanu derivative based on Genocchi polynomials for solving FDEs
- Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivative
- A Legendre spectral finite difference method for the solution of non-linear space-time fractional Burger's-Huxley and reaction-diffusion equation with Atangana-Baleanu derivative
- A numerical approach of fractional advection-diffusion equation with Atangana-Baleanu derivative
- Abundant distinct types of solutions for the nervous biological fractional FitzHugh-Nagumo equation via three different sorts of schemes
- Efficient numerical approach for solving fractional partial differential equations with non-singular kernel derivatives
- Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel
- Novel operational matrices-based method for solving fractional-order delay differential equations via shifted Gegenbauer polynomials
- A numerical technique for solving various kinds of fractional partial differential equations via Genocchi hybrid functions
- Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations
- Gegenbauer spectral method for time‐fractional convection–diffusion equations with variable coefficients
- Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods
- Transcendental Bernstein series for solving reaction–diffusion equations with nonlocal boundary conditions through the optimization technique
- Application of the modified operational matrices in multiterm variable‐order time‐fractional partial differential equations
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