Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...
ABSTRACT: Fractional differential equations have recently been applied in various areas of engineering, science, finance, applied mathematics, bio-engineering and others. However, many researchers ...
1 Department of Mathematics, University of Dhaka, Dhaka, Bangladesh. 2 Institute of Natural Sciences, United International University, Dhaka, Bangladesh. Due to the ability to model various complex ...
Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...
We consider the numerical approximation of a semilinear fractional order evolution equation involving a Caputo derivative in time of order α ϵ (0,1). Assuming a Lipschitz continuous nonlinear source ...
Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...
The N-body problem is a system of N second-order differential equations that cannot be expressed as a closed-form solution to date. This project weighs the options of using various numerical ...
Abstract: This work presents simplified numerical methods for chaotic attractors. The proposed simplification consists in a rescaling technique that uses integrating factors. Because some factors are ...
Abstract: This paper presents the study and implementation approaches of microcontroller-based system dynamics emulator for Mechanical system and Electrical system. The main goals of this research are ...
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