WAVELET BASED NUMERICAL SOLUTION OF BURGERS-FISHER EQUATIONS BY LIFTING SCHEMES
Journal of Mathematical Sciences & Computational Mathematics · 2024
The Burgers-Fisher equation is a non linear partial differential equation that models various phenomena for example fluid dynamics, gas dynamics, heat transfers and etc.In this paper, we presented wavelet based Lifting schemes for the numerical solution of Burgers-Fisher equations using orthogonal and biorthogonal wavelet filter coefficients.The numerical results obtained by this scheme are compared with the exact solution to demonstrate the accuracy and also speeds up convergence in lesser computational time as compared with existing scheme.Some test problems are presented for the applicability and validity of the scheme.