SIAM Journal on Numerical Analysis, Vol. 26, No. 6 (Dec., 1989), pp. 1474-1486 (13 pages) An explicit finite difference algorithm is developed to approximate the solution of a nonlinear and nonlocal ...

Finite difference methods have become a cornerstone in the simulation of seismic wave propagation, providing a robust numerical framework to approximate the differential equations that govern seismic ...

Abstract: Some new liberalized semi implicit finite-difference method is proposed in this paper to solve one dimensional Burgers equation. Numerical results obtained by the present methods have been ...

Abstract: We develop a numerical solution algorithm of the nonlinear potential flow equations with the nonlinear free surface boundary condition. A finite difference method with a predictor-corrector ...

1 Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh. 2 Department of Mathematics, Uttara University, Dhaka, Bangladesh. This study presents a ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

COREFL performs direct numerical simulations of compressible reactive flows on GPU based on finite difference method. The docs are under construction at https ...