Results 51 to 60 of about 11,407,574 (171)

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

Engineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source

Penyelesaian Persamaan Black-Scholes Dengan Adomian Decomposition Method [PDF]

, 2015
Adomian Decomposition Method (ADM) adalah sebuah metode penyelesaian berbentuk deret pendekatan yang digunakan untuk menyelesaikan Persamaan Black-Scholes dengan tipe Opsi Eropa. Dalam Tugas Akhir ini akan dibahas tentang cara menyelesaikan Persamaan
Pratiwi, Nirmala
core  

Adomian Decomposition Method for Solving Coupled KdV Equations [PDF]

, 2015
In this article, we study a numerical solution of the coupled kdv equation with initial condition by the Adomian Decomposition Method.The solution is calculated in the form of aconvergent power series with easily computable components.
mohamed, maha shehata
core   +1 more source

A Decompositional Approach for Two‐Dimensional, Two‐Phase, Nonlinear Inverse Stefan Problems Using the Method of Fundamental Solutions

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In this paper, we propose a decompositional (phase‐wise split) approach to solve a two‐dimensional, two‐phase (solid and liquid, say), nonlinear inverse Stefan problem. The first step is to approximate the unknown moving boundary between the two phases and the Stefan condition on that boundary using the overspecified boundary and initial data ...
Gujji Murali Mohan Reddy, Phalguni Nanda, Michael Vynnycky   +2 more
wiley   +1 more source

On the Adomian (decomposition) method and comparisons with Picard's method [PDF]

, 1987
This paper shows that the Adomian decomposition method (“Stochastic Systems,” Academic Press, New York,1983) is not to be identified with any of the earlier methods since it solves a wide class of nonlinear and stochastic equations without the often ...
Rach, R.
core   +1 more source

Numerical prediction of the energy efficiency of the three-dimensional fish school using the discretized Adomian decomposition method

Results in Physics, 2018
A three-dimensional modeling of fish school performed by a modified Adomian decomposition method (ADM) discretized by the finite difference method is proposed.
Yinwei Lin, Jing-Tang Yang, Ruimin Chen
doaj   +1 more source

Solution of Lane-Emden Equation with Fourier Decomposition Method

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022
In this article, we tried to get the solution of a class of Lane Emden type equations by using the Fourier Decomposition Method. This method is obtained by using the Fourier transform and the Adomian Decomposition method (FADM) together.
Murat Düz
doaj   +1 more source

Super‐Convergent Meshless Computations for Active Vibration Control of Bi‐Directional Functionally Graded Terfenol‐D Beams with Twisted Geometry

Advanced Theory and Simulations, Volume 9, Issue 1, January 2026.
This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil, Tanmoy Mukhopadhyay, Susmita Naskar   +2 more
wiley   +1 more source

A.S.J. AL-Saif Adomian decomposition method for solving two-dimensional Schrödinger equation

مجلة علوم ذي قار, 2019
In this paper, Adomian decomposition method is applied to approximate the solution of two-dimensional Schrödinger equation. Also, the convergence proof of the Adomian decomposition method is presented.
A. AL-Saif
doaj  

Flow of Elastoviscous Nanofluid Through an Elongating Surface With Dissipative Heat: A Confluent Hypergeometric Solution

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.
ABSTRACT Thermal energy transport likely through polymer extrusion, cooling of metallic plates, and chemical processing equipment relating to the flow of viscoelastic nanofluid has a greater role in engineering because of its elastic characteristics.
Rupa Baithalu, S. R. Mishra, Ram Prakash Sharma, Laxmipriya Swain   +3 more
wiley   +1 more source