Title of article :
a novel approach to compute the numerical solution of variable coefficient fractional burgers’ equation with delay
Author/Authors :
verma, amit kumar indian institute of technology patna - department of mathematics, patna, india , rawani, mukesh kumar indian institute of technology patna - department of mathematics, patna, india , agarwal, ravi p. texas a m university-kingville - department of mathematics, kingsville, usa
Abstract :
in this article, we come up with a novel numerical scheme based on haar wavelet (hw) along with non-standard finite difference (nsfd) scheme to solve timefractional burgers’ equation with variable diffusion coefficient and time delay. in the solution process, we discretize the fractional time derivative by nsfd formula and spatial derivative by hws series expansion. we use the quasilinearisation process to linearize the nonlinear term. also, the convergence of the scheme is discussed. the efficiency and correctness of the proposed scheme are assessed by l∞-error and l2-error norms.
Keywords :
fractional burgers’ equation , nonstandard finite difference , haar wavelets , variable coefficient , time delay
Journal title :
Journal of Applied and Computational Mechanics
Journal title :
Journal of Applied and Computational Mechanics
