Numerical Solution of a Generalized Fractional Burgers Diffusion Equation with Mamadu-Njoseh Polynomials
1 Department of Mathematics, Delta State University, Abraka, Nigeria
2 Department of Mathematics, Delta State University, Abraka, Nigeria.
* Corresponding author: oladayoe2000@yahoo.com
2 Department of Mathematics, Delta State University, Abraka, Nigeria.
* Corresponding author: oladayoe2000@yahoo.com
Abstract
In this paper, we consider the numerical solution of a generalized
fractional Burgers diffusion equation (GFBE). A fractional
variational iteration scheme coupled with Mamadu-Njoseh
polynomials was developed to effectively solve the GFBE.
MAPLE 18 software was used to carry out numerical simulations and approximations. Resulting numerical evidences
show that the procedures converges rapidly to the theoretical
solution as the order of the fractional derivative v varies.
Keywords
Fractional Burgers equations
Mamadu-Njoseh polynomials
Caputo fractional derivative
variational iteration method
partial differential equation
How to Cite
Oduselu-Hassan, E. O., & Njoseh, I. N. (2022). Numerical Solution of a Generalized Fractional Burgers Diffusion Equation with Mamadu-Njoseh Polynomials. Nigerian Journal of Mathematics and Applications, 32(1), 202-215. https://doi.org/10.67897/njma.2022.u5vfaaj5
E. O. Oduselu-Hassan, and I. N. Njoseh, "Numerical Solution of a Generalized Fractional Burgers Diffusion Equation with Mamadu-Njoseh Polynomials," Nigerian Journal of Mathematics and Applications, vol. 32, no. 1, pp. 202-215, June 2022. doi: 10.67897/njma.2022.u5vfaaj5
