Numerical methods for differential and integral equations are indispensable in modern applied mathematics and engineering, offering tools to approximate complex physical phenomena where analytical ...

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 ...

This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems. The solution to these problems displays a ...

Abstract: This work describes the comparison between the analytical and numerical solution of the one dimensional (1D) bioheat transfer equation in the steady state condition along the axis of a ...

1 Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria. 2 Mathematics Department, Adeyemi College of Education, Ondo, Nigeria. 3 Department of Statistics, Federal ...

Abstract: Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential ...

Water impact phenomenon in the case of a circular cylinder is an important issue in offshore industry where cross members may be in the splash zone of the incident wave. An analytical method as well ...