Abstract: In this letter, to improve the calculation efficiency, a novel full-wave hybrid numerical method based on the finite-difference frequency domain method (FDFD) and the surface integral ...

This repository contains a complete collection of implementations for various Numerical Methods used in computational mathematics. The project covers a wide range of topics including linear and ...

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: In this study, we introduce numerical methods for discretizing continuous-time linear-quadratic optimal control problems (LQ-OCPs). The discretization of continuous-time LQ-OCPs is ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

This study presents an (ε, μ)−uniform numerical method for a two-parameter singularly perturbed time-delayed parabolic problems. The proposed approach is based on a fitted operator finite difference ...

ABSTRACT: In this paper, we propose two new explicit Almost Runge-Kutta (ARK) methods, ARK3 (a three stage third order method, i.e., s = p = 3) and ARK34 (a four-stage third-order method, i.e., s = 4, ...

1 Department of Mathematics, National Institute of Technology, Kurukshetra, India 2 Department of Mathematics, Pt. CLS. Govt. PG College, Karnal, India The aim of the present work is to devote a ...