Abstract: Maxwell's equations are transformed through discretisation of the solution domain using Finite Difference Method (FDM) to a system of algebraic equations referred to as finite difference ...

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

Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

Partial Differential Equations are ubiquitous throughout Math, Science, and Engineering. Thus, it is extremely useful to know how to solve them numerically through the use of computer programming.

Abstract: There have been many methods to model underwater acoustic propagation, such as normal mode, wavenumber integral, parabolic equation, ray and so on. Most of these methods can only obtain the ...