Results 71 to 80 of about 5,810 (155)

ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION

Science Journal of University of Zakho
The Sasa-Satsuma equation is an integrable higher-order nonlinear Schrodinger equation. In this paper, two schemes are proposed to study numerical solutions of the Sasa-Satsuma nonlinear Schrödinger equation with initial conditions using the Adomian ...
Knier Salih, Saad Manaa
doaj   +1 more source

Solusi Persamaan Diferensial Fraksional Riccati Menggunakan Adomian Decomposition Method dan Variational Iteration Method

Matematika, 2019
Abstrak. Pada umumnya orde dari persamaan diferensial adalah bilangan asli, namun orde pada persamaan diferensial dapat dibentuk menjadi orde pecahan yang disebut persamaan diferensial fraksional.
Muhamad Deni Johansyah, Herlina Napitupulu, Erwin Harahap, Ira Sumiati, Asep K. Supriatna   +4 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., Okagbue, H. I., Opanuga, A. A., Owoloko, E. A.   +3 more
core   +1 more source

Numerical Investigation of a Fractional Cancer Chemotherapy Effect Model Using the Homotopy Decomposition Method

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, M. M. Gour, S. D. Purohit, D. L. Suthar, A. M. Nagy   +4 more
wiley   +1 more source

The decomposition method: Adomian decomposition method

, 2021
Firstly, in this study, Adomian Decomposition Method is explained on problems which are in different types are related ordinary differential, partial differential and integral equations. The main purpose of this study is to examine the effect of thermal flux applied to a thick-walled cylinder which is made by composite materials.
openaire   +1 more source

An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method

, 2010
In this paper we propose a collocation method for solving some well-known classes of Lane-Emden type equations which are nonlinear ordinary differential equations on the semi-infinite domain. They are categorized as singular initial value problems.
A.R. Rezaei, Agarwal, Aslanov, Aslanov, Bao, Bataineh, Bender, Boyd, Boyd, Boyd, Boyd, Chandrasekhar, Chowdhury, Chowdhury, Christov, Coulaud, Davis, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Funaro, Funaro, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, He, Horedt, K. Parand, Kara, Kara, Liao, Liu, Maday, Mandelzweig, Marzban, Mehdi Dehghan, Parand, Parand, Parand, Parand, Parand, Parand, Ramos, Ramos, Ramos, Ramos, S Bataineh, S.M. Ghaderi, Saadatmandi, Shakeri, Shawagfeh, Shen, Shen, Shen, Shen, Singh, Siyyam, Tang, Tatari, Wazwaz, Wazwaz, Yildirim, Yousefi, Zhang   +74 more
core   +1 more source

On the Dispersive Optical Pulses in Fiber Optics of the Conformable (2 + 1)‐Dimensional Hirota–Maccari System

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, Mesut Balibey, Shafqat Ur Rehman, Muhammad Bilal, Smritijit Sen   +4 more
wiley   +1 more source

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, Thanh Tran, Bruno Carpentieri, Higinio Ramos   +3 more
wiley   +1 more source

Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order

Abstract and Applied Analysis, 2013
Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense.
Veyis Turut, Nuran Güzel
doaj   +1 more source

Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations

Entropy, 2019
In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method.
Rasool Shah, Hassan Khan, Muhammad Arif, Poom Kumam   +3 more
doaj   +1 more source