A comprehensive numerical study of space-time fractional bioheat equation using fractional-order Legendre functions

The European Physical Journal Plus ◽

10.1140/epjp/i2018-12204-x ◽

2018 ◽

Vol 133 (10) ◽

Author(s):

R. Roohi ◽

M. H. Heydari ◽

M. Aslami ◽

M. R. Mahmoudi

Keyword(s):

Fractional Order ◽

Numerical Study ◽

Legendre Functions ◽

Bioheat Equation

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A numerical study of new fractional model for convective straight fin using fractional-order Legendre functions

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.110282 ◽

2020 ◽

Vol 141 ◽

pp. 110282

Author(s):

Sunil Kumar Sharma ◽

Dinesh Kumar

Keyword(s):

Fractional Order ◽

Numerical Study ◽

Legendre Functions ◽

Fractional Model

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Abundant wave solutions of conformable space-time fractional order Fokas wave model arising in physical sciences

Alexandria Engineering Journal ◽

10.1016/j.aej.2021.01.001 ◽

2021 ◽

Vol 60 (2) ◽

pp. 2687-2696

Author(s):

Shahzad Sarwar ◽

Khaled M. Furati ◽

Muhammad Arshad

Keyword(s):

Fractional Order ◽

Physical Sciences ◽

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A numerical study of fractional order population dynamics model

Results in Physics ◽

10.1016/j.rinp.2021.104456 ◽

2021 ◽

pp. 104456

Author(s):

H. Jafari ◽

R.M. Ganji ◽

N.S. Nkomo ◽

Y.P. Lv

Keyword(s):

Population Dynamics ◽

Fractional Order ◽

Numerical Study ◽

Dynamics Model ◽

Population Dynamics Model

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Geometrical study and solutions for family of burgers-like equation with fractional order space time

Alexandria Engineering Journal ◽

10.1016/j.aej.2021.06.032 ◽

2021 ◽

Author(s):

Emad A-B. Abdel-Salam ◽

Mohamed S. Jazmati ◽

Hijaz Ahmad

Keyword(s):

Fractional Order ◽

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A Laplace substitution method of space‐time fractional order including jumbled partial derivatives

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7935 ◽

2021 ◽

Author(s):

Anas Arafa ◽

Ibrahim Hanafy ◽

Ahmed Hagag

Keyword(s):

Fractional Order ◽

Substitution Method ◽

Partial Derivatives

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Analytic and Numerical Solutions of Space-Time Fractional Diffusion Wave Equations with Different Fractional Order

Computational Science – ICCS 2021 - Lecture Notes in Computer Science ◽

10.1007/978-3-030-77961-0_34 ◽

2021 ◽

pp. 408-421

Author(s):

Abhishek Kumar Singh ◽

Mani Mehra

Keyword(s):

Fractional Order ◽

Wave Equations ◽

Numerical Solutions ◽

Fractional Diffusion ◽

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Fractional-order Legendre functions for solving fractional-order differential equations

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.10.026 ◽

2013 ◽

Vol 37 (7) ◽

pp. 5498-5510 ◽

Author(s):

S. Kazem ◽

S. Abbasbandy ◽

Sunil Kumar

Keyword(s):

Differential Equations ◽

Fractional Order ◽

Legendre Functions ◽

Fractional Order Differential Equations

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Numerical analysis of a new space–time variable fractional order advection–dispersion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.06.003 ◽

2014 ◽

Vol 242 ◽

pp. 541-550 ◽

Author(s):

H. Zhang ◽

F. Liu ◽

P. Zhuang ◽

I. Turner ◽

V. Anh

Keyword(s):

Numerical Analysis ◽

Dispersion Equation ◽

Fractional Order ◽

Time Variable ◽

Advection Dispersion ◽

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A new numerical study of space–time fractional advection–reaction–diffusion equation with Rabotnov fractional‐exponential kernel

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22647 ◽

2020 ◽

Author(s):

Sachin Kumar ◽

Bashir Ahmad

Keyword(s):

Diffusion Equation ◽

Numerical Study ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Exponential Kernel

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Numerical study of time-splitting and space–time adaptive wavelet scheme for Schrödinger equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.03.086 ◽

2006 ◽

Vol 195 (1-2) ◽

pp. 263-273 ◽

Author(s):

R. Zhang ◽

K. Zhang ◽

Y.S. Zhou

Keyword(s):

Numerical Study ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Adaptive Wavelet ◽

Time Splitting ◽

Adaptive Wavelet Scheme

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