Fractional clique collocation technique for numerical simulations of fractional-order Brusselator chemical model
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 …
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
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 …
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
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 …
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 …
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 …
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 …
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 …
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 …
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 …
twodimensional nonlinear Schrodinger equation with fractional order derivative in time and …
A spectrally accurate time‐space pseudospectral method for viscous Burgers' equation
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 …
in time and space to find the approximate solution of the viscous Burgers' equation. The …