Open AccessNumerical Solution of Gray Scott Reaction-Diffusion Equation using LagrangePolynomial
Author(s) -
Navneet Kaur,
Varun Joshi
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1531/1/012058
Subject(s) - nyström method , mathematics , gray (unit) , quadrature (astronomy) , differential equation , numerical analysis , ode , polynomial , runge–kutta methods , mathematical analysis , diffusion equation , integral equation , physics , medicine , economy , service (business) , optics , economics , radiology
In this paper, numerical solution of one dimensional Gray-Scott equation is obtained using Lagrange Polynomial with Differential Quadrature Method (DQM). After using DQM the considered equation converted into set of ODEs which further can be solved using Range-Kutta method. The efficiency and accuracy of the method is to be checked by using L ∞ and L 2 errors. The obtained numerical results are shown with help of 2D and 3D figures.