Results 51 to 60 of about 498,085 (213)
Abstract and Applied Analysis, 2014 We develop a method to obtain approximate solutions for nonlinear systems of Volterra integrodifferential equations with the help of Sumudu decomposition method (SDM).
Hassan Eltayeb +2 more
doaj +1 more source
A fractional B-spline collocation method for the numerical solution of fractional predator-prey models [PDF]
, 2018 We present a collocation method based on fractional B-splines for the solution of fractional differential problems. The key-idea is to use the space generated by the fractional B-splines, i.e., piecewise polynomials of noninteger degree, as approximating
Pitolli, Francesca
core +1 more source
Partial Differential Equations in Applied MathematicsIn literature, it is usually very difficult to investigate the analytical and numerical solutions of fractional integro-differential equations (FIDEs). In the current work, the solutions to linear and non-linear FIDEs and their systems have been analyzed
Qasim Khan, Anthony Suen, Hassan Khan
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, 2010 Theoretically, stars have been formed from the collapse of cores in the molecular clouds. Historically, the core had been assumed as an singular isothermal sphere (SIS), and the collapse had been investigated by a self-similar manner.
Nejad-Asghar, Mohsen
core +1 more source
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
Developed Adomian method for quadratic Kaluza-Klein relativity
, 2009 We develop and modify the Adomian decomposition method (ADecM) to work for a new type of nonlinear matrix differential equations (MDE's) which arise in general relativity (GR) and possibly in other applications.
Adomian G +11 more
core +1 more source
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 +2 more
wiley +1 more source
Analysis of fractional multi-dimensional Navier–Stokes equation
Advances in Difference Equations, 2021 In this paper, a hybrid method called variational iteration transform method has been implemented to solve fractional-order Navier–Stokes equation. Caputo operator describes fractional-order derivatives.
Yu-Ming Chu +3 more
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The Novel Numerical Solutions for Time‐Fractional Fishers Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan +3 more
wiley +1 more source
A New Decomposition Method for Integro-Differential Equations
Cumhuriyet Science Journal, 2022 This present study developed a new Modified Adomian Decomposition Method (MADM) for integro-differential equations. The modification was carried out by decomposing the source term function into series.
Kabiru Kareem, Morufu Oyedunsi Olayiwola
doaj +1 more source