Results 81 to 90 of about 498,085 (213)
Partial Differential Equations in Applied MathematicsIn this paper, we introduce a novel approach called the Iterative Aboodh Transform Method (IATM) which utilizes Daftardar–Jafari polynomials for solving non-linear problems.
Qasim Khan, Anthony Suen
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Analytic solutions of fractional differential equations by operational methods
, 2012 We describe a general operational method that can be used in the analysis of fractional initial and boundary value problems with additional analytic conditions. As an example, we derive analytic solutions of some fractional generalisation of differential
Garra, Roberto, Polito, Federico
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A developed new algorithm for evaluating Adomian polynomials
Computer Modeling in Engineering & Sciences, 2009 18 pages, LaTeX; Typos ...
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Analysis of fractional non-linear diffusion behaviors based on Adomian polynomials
, 2017 A time-fractional non-linear diffusion equation of two orders is considered to investigate strong non-linearity through porous media. An equivalent integral equation is established and Adomian polynomials are adopted to linearize non-linear terms.
Guo-cheng Wu, D. Baleanu, W. Luo
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Engineering Reports, Volume 7, Issue 6, June 2025.ABSTRACT Co‐infections such as malaria and tuberculosis pose significant public health challenges, particularly in regions where both diseases are endemic. Despite the global burden of these infections, their combined transmission dynamics remain poorly understood, highlighting the importance of this study. We develop a comprehensive mathematical model
Benedict Celestine Agbata +7 more
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Engineering Reports, Volume 7, Issue 4, April 2025.ABSTRACT The study introduces a computational method that combines Legendre polynomials with Gauss–Lobatto points to solve nonlinear coupled differential equations, focusing on the Williamson fluid model under the influence of mixed convection and permeability with mixed boundary conditions.
R. A. Oderinu +4 more
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Variational iteration algorithm-I with an auxiliary parameter for wave-like vibration equations
Journal of Low Frequency Noise, Vibration and Active Control, 2019 In this work, the variational iteration algorithm-I with an auxiliary parameter is used for the analytical treatment of the wave equations and wave-like vibration equations.
Hijaz Ahmad, Tufail A. Khan
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An algorithm for positive solution of boundary value problems of nonlinear fractional differential equations by Adomian decomposition method [PDF]
, 2016 In this paper, an algorithm based on a new modification, developed by Duan and Rach, for the Adomian decomposition method (ADM) is generalized to find positive solutions for boundary value problems involving nonlinear fractional ordinary differential ...
A. I., Md. Ismail, Hytham. A., Alkresheh
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5039-5063, 15 March 2025.This article presents an analytical investigation performed on a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science. To start with, achieving diverse solitary wave solutions to the generalized power‐law model involves using wave transformation, which reduces the model to a nonlinear ordinary differential equation.
Oke Davies Adeyemo
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, 2015 In this paper, indirect collocation approach based on compactly supported radial basis function is applied for solving Volterras population model.
Hemami, Mohammad, Parand, Kourosh
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