Results 21 to 30 of about 445 (153)
Journal of Research in Science, Engineering and Technology, 2019 We present on existence and uniqueness theorem for integral equation of fractional order in volving fuzzy set value mayping of a real variable whose values are normal , convex , upper , semicontinuous , and compactly sufforted fuzzy sets in ir , we establish condition for a class of initial value froblem for impulsive frac tional antegrab inclusion ...
Mohammadreza Nourizadeh +2 more
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A Comparison between Adomian Decomposition and Tau Methods
Abstract and Applied Analysis, 2013 We present a comparison between Adomian decomposition method (ADM) and Tau method (TM) for the integro-differential equations with the initial or the boundary conditions. The problem is solved quickly, easily, and elegantly by ADM.
Necdet Bildik, Mustafa Inc
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IOSR Journal of Applied Physics, 2014 Adomian Decomposition Method (ADM) was employed to solve the second order differential equation of diffusion-convection model for the mobility of radiocaesium in undisturbed soils of southwestern Nigeria. Applying this method the convection velocity ranged from 0.09 to 0.16 cmy -1 and the diffusion coefficients varied from 0.07 to 1 cm 2 y -1 .
Faweya E. B +3 more
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Abstract and Applied Analysis, 2012 We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM).
Hassan Eltayeb, Adem Kılıçman
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 980-999, August 2026.This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav +4 more
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Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method
The Scientific World Journal, 2014 We apply Adomian decomposition method (ADM) for obtaining approximate series solution of Urysohn integral equations. The ADM provides a direct recursive scheme for solving such problems approximately.
Randhir Singh +2 more
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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 +3 more
wiley +1 more source
IOSR Journal of Applied Physics, 2013 In this work, we considered first order differential equation (FODE) for nuclide build-up during irradiation of Gold (Au) with neutron. The approximate solutions to FODE are obtained using the Adomian Decomposition Method (ADM). Results have been found to be accurate and effective when compared with analytical solutions.
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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 +3 more
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International Journal of Differential Equations, 2015 We combine the Adomian decomposition method (ADM) and Adomian’s asymptotic decomposition method (AADM) for solving Riccati equations. We investigate the approximate global solution by matching the near-field approximation derived from the Adomian ...
Jafar Biazar, Mohsen Didgar
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