Publications
A Novel Integral Transform for Solving Ordinary and Partial Differential Equations
Jan 4, 2023Journal International Conference on Mathematical and Statistical Physics, Computational Science, Education, and Communication (ICMSCE 2022)
Publisher SPIE – The International Society for Optics and Photonics
DOI 10.1117/12.2675740
Volume 12616
In this paper, a novel integral transform is proposed for solving various types of differential equations. It is based on a combination of the modified Laplace transform and the generalization of Laplace-derived transformations. The characteristics of this transform are studied and applied to special functions and linear differential equations with constant coefficients.
Exact Solutions to a Mathematical Model Representing Avascular Tumor Growth via Exponential Function Method
Jan 1, 2023Journal Utilitas Mathematica
Publisher Utilitas Mathematica Publishing Inc.
Issue N/A
Volume 120
This paper presents exact analytical solutions to a mathematical model describing avascular tumor growth. The exponential function method is used to obtain explicit expressions for tumor growth dynamics, providing insights into the behavior of tumor cells under avascular conditions.
A Novel Iterative Method Based on Bernstein–Adomian Polynomials to Solve Non-Linear Differential Equations
Jan 1, 2020Journal Open Access Library Journal
Publisher Open Access Library Journal
Issue 05
Volume 7
In this paper, a novel iterative method based on Bernstein–Adomian polynomials is proposed to solve non-linear differential equations. The proposed approach provides accurate analytical approximations and demonstrates efficiency in solving various non-linear problems.