Least‐Squares Residual Power Series Method for the Time‐Fractional Differential Equations

J Zhang, Z Wei, L Li, C Zhou - Complexity, 2019 - Wiley Online Library
In this study, an applicable and effective method, which is based on a least‐squares residual
power series method (LSRPSM), is proposed to solve the time‐fractional differential …

Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems

SZ Rida, AAM Arafa, HS Hussein, IG Ameen… - Scientific Reports, 2024 - nature.com
In this paper, two problems involving nonlinear time fractional hyperbolic partial differential
equations (PDEs) and time fractional pseudo hyperbolic PDEs with nonlocal conditions are …

Numerical and Analytical Simulations of Nonlinear Time Fractional Advection and Burger's Equations

H Khan, Q Khan, F Tchier, Ibrarullah… - Journal of Function …, 2022 - Wiley Online Library
In this paper, the higher nonlinear problems of fractional advection‐diffusion equations and
systems of nonlinear fractional Burger's equations are solved by using two sophisticated …

[PDF][PDF] Research Article Numerical and Analytical Simulations of Nonlinear Time Fractional Advection and Burger's Equations

G Singh, FMO Tawfiq, S Khan - 2022 - academia.edu
In this paper, the higher nonlinear problems of fractional advection-diffusion equations and
systems of nonlinear fractional Burger's equations are solved by using two sophisticated …