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Publications

A Novel Integral Transform for Solving Ordinary and Partial Differential Equations

Jan 4, 2023

Journal: International Conference on Mathematical and Statistical Physics, Computational Science, Education, and Communication (ICMSCE 2022) 12616

Publisher: SPIE – The International Society for Optics and Photonics

DOI: 10.1117/12.2675740

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, 2023

Journal: Utilitas Mathematica 120 (N/A)

Publisher: Utilitas Mathematica Publishing Inc.

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, 2020

Journal: Open Access Library Journal 7 (05)

Publisher: Open Access Library Journal

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.