Open AccessImplementation of Modified Cubic UAT Tension B-spline DQM for Numerical Approximation of 1D and 2D Reaction-Diffusion System
Author(s) -
Mamta Kapoor,
Varun Joshi
Publication year - 2021
Publication title -
international journal of mathematical models and methods in applied sciences
Language(s) - English
Resource type - Journals
ISSN - 1998-0140
DOI - 10.46300/9101.2021.15.7
Subject(s) - ode , weighting , mathematics , diffusion , tension (geology) , monotone cubic interpolation , b spline , spline (mechanical) , scheme (mathematics) , mathematical analysis , physics , thermodynamics , linear interpolation , acoustics , polynomial , trilinear interpolation , compression (physics)
In present paper, a new approach, “modified cubic UAT tension B-spline DQM” has been developed to solve the 1D and 2D Reaction-Diffusion system numerically. The modified cubic UAT tension B-spline is used as basis function, to find the required weighting coefficients. The resulting system of ODE has been solved by SSP-RK43 scheme. The proposed scheme is checked by five test examples.