Fractional clique collocation technique for numerical simulations of fractional-order Brusselator chemical model

M Izadi, HM Srivastava - Axioms, 2022 - mdpi.com
The primary focus of this research study is in the development of an effective hybrid matrix
method to solve a class of nonlinear systems of equations of fractional order arising in the …

Stability analysis and highly accurate numerical approximation of Fisher's equations using pseudospectral method

LK Balyan, AK Mittal, M Kumar, M Choube - Mathematics and Computers in …, 2020 - Elsevier
In this article, we present a new pseudospectral method to approximate the solution of one-
and two-dimensional Fisher's equations, which is a prototype of nonlinear reaction–diffusion …

Exact solitary wave solutions and their comparisons under the effect of noise: an allelopathic phytoplankton competition model

MZ Baber, N Ahmed, MS Iqbal, MW Yasin - The European Physical …, 2024 - Springer
In this study, we investigated an allelopathic phytoplankton competition model under the
effect of Brownian motion. This model is analyzed for the first time analytically to obtain the …

A stable time–space Jacobi pseudospectral method for two-dimensional sine-Gordon equation

AK Mittal - Journal of Applied Mathematics and Computing, 2020 - Springer
In this article, we present the stability analysis and approximate solutions of circular ring
solitary solitons wave for (2+ 1)-dimensional nonlinear sine-Gordon equation using time …

A spectrally accurate time–space pseudospectral method for reaction–diffusion Malaria infection model

AK Mittal - Computational and Applied Mathematics, 2022 - Springer
Malaria is a possibly dangerous infection brought about by a parasite. This infection is more
normal in nations with heat and humidities. Because of chromosomal changes, the elements …

A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations

AK Mittal - Applied Numerical Mathematics, 2024 - Elsevier
The viscous Burgers' equation is a kind of quasi-linear important partial differential equation
appeared in many fields. The nonlinear term contained in this equation results in difficulty in …

Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations

AK Mittal - Calcolo, 2023 - Springer
In this paper, the author is to introduce the Jacobi pseudospectral quadrature simulation
technique for the numerical solutions of two-dimensional nonlinear fractional order integral …

Pseudospectral quadrature simulation technique for spatio-temporally parabolic multi-dimensional nonlinear fractional evolution equation

AK Mittal - The Journal of Analysis, 2024 - Springer
The aim of this paper, the author is to introduce the Jacobi pseudospectral quadrature
simulation technique for the multi-dimensional nonlinear fractional evolution equation. We …

[PDF][PDF] Chebyshev pseudospectral approximation of two dimensional fractional Schrodinger equation on a convex and rectangular domain

AK Mittal, LK Balyan - AIMS Math, 2020 - aimspress.com
In this article, the authors report the Chebyshev pseudospectral method for solving
twodimensional nonlinear Schrodinger equation with fractional order derivative in time and …

A spectrally accurate time‐space pseudospectral method for viscous Burgers' equation

AK Mittal, LK Balyan, KK Sharma - Numerical Methods for …, 2023 - Wiley Online Library
The aim of the paper is to develop and analyze a spectrally accurate pseudospectral method
in time and space to find the approximate solution of the viscous Burgers' equation. The …