Results 61 to 70 of about 334 (167)
A developed new algorithm for evaluating Adomian polynomials
Computer Modeling in Engineering & Sciences, 2009 18 pages, LaTeX; Typos ...
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Correlation between Adomian and partial exponential Bell polynomials
Comptes Rendus. Mathématique, 2017 We obtain some recurrence relationships among the partition vectors of the partial exponential Bell polynomials. On using such results, the n -th Adomian polynomial for any nonlinear operator can be expressed explicitly in terms of the partial exponential Bell polynomials. Some new identities
KATARIA, KK, VELLAISAMY, P
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study presents an innovative nonlinear fractional‐order financial model that employs Caputo and Caputo–Fabrizio fractional derivatives to represent the dynamic interactions among interest rates, investment demand, price indices, and income/output. The model is formulated as a system of coupled nonlinear differential equations to encapsulate memory‐
Md. Asraful Islam +3 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this study, the nonlinear momentum and energy equations governing magnetohydrodynamic microchannel flow are solved under a Robin‐type slip boundary condition. To impose the mixed boundary conditions directly in the semi‐analytical construction, the Adomian decomposition method (ADM) is combined with the Fourier transform.
Ali Fooladvand +4 more
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Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform
Abstract and Applied Analysis, 2013 A user friendly algorithm based on new homotopy perturbation Sumudu transform method (HPSTM) is proposed to solve nonlinear fractional gas dynamics equation. The fractional derivative is considered in the Caputo sense. Further, the same problem is solved
Jagdev Singh +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study presents a novel triple integral transformation, called the double ARA–generalized Laplace transform (DAGLT), and applies it to solve (2 + 1)–dimensional singular pseudoparabolic equations in both linear and nonlinear forms. The work begins by outlining the fundamental definitions, theorems, and characteristics of the single ARA and ...
Rania Saadeh +4 more
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A Reliable Decomposition Method for Fractional‐Order Fokker–Planck Equation
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study analytically investigates the fractional Fokker–Planck equations (F‐FPEs) by employing the Sumudu decomposition method (SDM). This method combines the strengths of the Sumudu transform and the Adomian decomposition method (ADM) to effectively handle the nonlocality and memory characteristics inherent in governing fractional differential ...
Mona Alsulami +2 more
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An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform
Abstract and Applied Analysis, 2013 An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM).
Devendra Kumar +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study examines approximate analytical solutions of the time‐fractional Swift–Hohenberg equation involving the Caputo–Fabrizio fractional derivative. The main objective of this study is to investigate efficient analytical approximation techniques using the Yang transform Adomian decomposition method (YTADM).
Mustafa Ahmed Ali +2 more
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Iraqi Journal of PhysicsIn this study, one-dimensional non-linear Klein-Gordon equations are solved by applying the integral transform known as the Rohit transform method. The approximate solutions of one-dimensional non-linear Klein- Gordon equations are obtained by combining
Rohit Gupta, Rahul Gupta
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