In this project, a computational framework for modeling infectious disease dynamics is developed using the classical Susceptible–Infectious–Recovered (SIR) model implemented in MATLAB. The system is ...

Abstract. Efficiently solving nonlinear equations underpins numerous scientific and engineering disciplines, yet scaling these solutions for complex system models remains a challenge. This paper ...

This study centers on incorporating memory effects (the impact of past events on current states) into mathematical models for population dynamics. It introduces a framework based on the gamma ...

In the present study, we demonstrate the feasibility to reveal the numerical solution of the multi-dimensional wave equations. A simple semi-analytical meshless method was proposed to obtain the ...

This textbook provides an introductory course in numerical methods, MATLAB, and technical computing. It emphasis on explaining the use of mathematical software. The book has used computer graphics, ...