Perturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model Equations [PDF]
, 2017 In this study, a computational method referred to as Perturbation Iteration Transform Method (PITM), which is a combination of the conventional Laplace Transform Method (LTM) and the Perturbation Iteration Algorithm (PIA) is applied for the solution ...
Akinlabi, G. O., Edeki, S.O.
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SOLUTION OF NONLINEAR HEAT EQUATION BY LAPLACE ADOMIAN DECOMPOSITION METHOD
, 2022 Major Advisor: Temesgen Anbessa (PhD) ABSTRACT Adomian decomposition method has been applied to solve many functional equations so far. In this thesis, we have used Adomian Decomposition Method (ADM) with the combination of Laplace transform (LT) to solve nonlinear heat equation which governs on numerous scientific and engineering experimentations ...
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Photonics, 2023 This article studies highly dispersive optical solitons without of self-phase modulation effect. The numerical algorithm implemented in this work is Laplace-Adomian decomposition method. Both bright and dark solitons are addressed.
Oswaldo González-Gaxiola +3 more
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On Numerical Solutions of Systems of Ordinary Differential Equations by Numerical-Analytical Method [PDF]
, 2014 This paper considers the solutions of systems of ordinary differential equations via a numeric-analytical method referred to differential Transforms Method (DTM). For numerical interpretation, two illustrative examples are used. The results obtained show
Ajayi, B. +5 more
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Approximate solution to the fractional Lane-Emden type equations
, 2017 In this paper, approximate solutions for a class of fractional Lane - Emden type equations based on the series expansion method are presented. Various examples are introduced and discussed.
Abdel-Salam, Emad A-B., Nouh, M. I.
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An efficient approach for the numerical solution of fifth-order KdV equations
Open Mathematics, 2020 The main aim of this article is to use a new and simple algorithm namely the modified variational iteration algorithm-II (MVIA-II) to obtain numerical solutions of different types of fifth-order Korteweg-de Vries (KdV) equations.
Ahmad Hijaz +2 more
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Saigo Space-Time Fractional Poisson Process via Adomian Decomposition Method
, 2017 We obtain the state probabilities of various fractional versions of the classical homogeneous Poisson process using an alternate and simpler method known as the Adomian decomposition method (ADM).
Kataria, K. K., Vellaisamy, P.
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Elliptical Tempered Stable Distribution and Fractional Calculus [PDF]
, 2014 A definition for elliptical tempered stable distribution, based on the characteristic function, have been explained which involve a unique spectral measure.
Fallahgoul, Hassan A., Kim, Young S.
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KdV Equation Solution by Double Laplace Adomian Decomposition Method and Its Convergence Analysis
Mathematical Problems in Engineering, 2022 In this paper, the double Laplace Adomian decomposition method (DLADM) is utilized for the solution of the nonlinear Korteweg–de Vries (KdV) equation. The convergence analysis of the suggested approach has been carried out and some examples of the KdV equation are solved for demonstrating the proposed approach.
Umar Habib +3 more
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Penerapan Metode Dekomposisi Adomian Laplace Dalam Menentukan Solusi Persamaan Panas [PDF]
, 2019 Abstrak. Artikel ini membahas tentang penerapan Metode Dekomposisi Adomian Laplace (LADM) dalam menentukan solusi persamaan panas. Metode Dekomposisi Adomian Laplace merupakan metode semi analitik untuk menyelesaikan persamaan diferensial nonlinier ...
Abdy, Muhammad +2 more
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