Results 71 to 80 of about 498,085 (213)
AIP Advances, 2023 To study magneto-acoustic waves in plasma, we will use a numerical method based on the Natural Transform Decomposition Method (NTDM) to find the approximative solutions of nonlinear fifth-order KdV equations.
Mashael M. AlBaidani +2 more
doaj +1 more source
On Distributions of Certain State Dependent Fractional Point Processes
, 2018 We obtain the explicit expressions for the state probabilities of various state dependent fractional point processes recently introduced and studied by Garra et al. (2015).
Kataria, K. K., Vellaisamy, P.
core +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav +4 more
wiley +1 more source
East Asian Journal on Applied Mathematics, 2019 A variational iteration method involving Adomian polynomials to solve a strongly nonlinear boundary value problem is considered. After its convergence is established, the efficiency and accuracy of the proposed method are tested on problems with ...
Shih-Hsiang Chang
semanticscholar +1 more source
Generalization of adomian polynomials to functions of several variables
Computers & Mathematics with Applications, 1992 The first author developed the analytic method for approximate solution of nonlinear ordinary and partial differential equations. To use this method, the solution \(u\) of an ordinary or partial differential equation is written as \(u=\sum^ \infty_{n=0}u_ n\) and a nonlinear term assumed to be an analytic function \(f(u)\) is represented by the series \
Adomian, G., Rach, R.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.The Hirota–Maccari (HM) system is a fundamental model in wave propagation that has been widely utilized to investigate complex nonlinear phenomena in nonlinear optics, optical communications, and mathematical physics. The HM system sheds light on critical insights into soliton dynamics, wave interactions, and other nonlinear effects.
Fei Li +4 more
wiley +1 more source
A hybrid analytical algorithm for thin film flow problem occurring in non-Newtonian fluid mechanics
Ain Shams Engineering Journal, 2021 In this work, we investigate thin film flow of a third grade fluid down a inclined plane. The solution of a nonlinear boundary value problem (BVP) is derived by using an effective well organized computational scheme namely homotopy perturbation Elzaki ...
Sushila +3 more
doaj +1 more source
Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems [PDF]
, 2017 This work considers the numerical solution of higher order boundary value problems using Homotopy perturbation method (HPM) and modified Adomian decomposition method (MADM). HPM is applied without any transformation or calculation of Adomian polynomials.
Agboola, O.O. +3 more
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Application of Variable Step‐Size Hybrid Methods for Solving Third‐Order Lane‐Emden Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13854-13863, 30 September 2025.ABSTRACT This manuscript introduces a pair of variable step‐size hybrid methods (PVSHM) to efficiently solve third‐order initial value problems of Lane‐Emden‐type equations (LETE). These equations are extensively used across various disciplines, including chemical engineering, fluid mechanics, physics, and astrophysics, to model a wide range of real ...
Mufutau Ajani Rufai +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 11630-11651, August 2025.ABSTRACT This study examines the complex dynamics of dengue transmission by incorporating time delay into a comprehensive model. The model is designed to capture several essential components, including steady‐state events, immune waning, recuperation from infection, and partial shielding in human populations.
G. M. Vijayalakshmi +4 more
wiley +1 more source