 Stability analysis and highly accurate numerical approximation of Fisher’s equations using pseudospectral methodL.K. Balyan, A.K. Mittal, M. Kumar and M. Choube Mathematics and Computers in Simulation (MATCOM), 2020, vol. 177, issue C, 86-104 Abstract: 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 equations. The proposed method is based on Chebyshev–Gauss–Lobatto points and employed collocation in both spatial and time direction to study of several travelling wave solutions which evolves into a shock like wavefront and change the shape to some wave pattern. The stability analysis of the proposed method for Fisher’s equation is presented. The numerical results show highly accurate and stable for different values of the reaction rate coefficients. Some model examples of one- and two-dimensional Fisher’s equations are tested and detailed comparison of the proposed method with various other methods are also given. Keywords: Fisher’s equation; Collocation methods; Pseudospectral method; Multidomain pseudospectral; Chebyshev–Gauss–Lobatto points (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:177:y:2020:i:c:p:86-104 DOI: 10.1016/j.matcom.2020.04.012 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.