Results 51 to 60 of about 6,268 (199)

On the numerical solution of Fredholm-type integro-differential equations using an efficient modified Adomian decomposition method [PDF]

Mathematics and Computational Sciences
The efficiency of the Adomian decomposition method in the solution of integro-differential equations cannot be overemphasized. However, improvement of the method is needed as its drawbacks have been analyzed and reported in recent literature.
Kabiru Kareem, Morufu Olayiwola, Muideen Ogunniran   +2 more
doaj   +1 more source

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.
core   +1 more source

An efficient semi‐analytical approach for the free vibration behavior of DWCNTs on elastic foundations based on nonlocal elasticity theory

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 3, March 2026.
Abstract In this study, a comprehensive analytical framework is developed to investigate the free vibration behavior of double‐walled carbon nanotubes (DWCNTs) resting on an elastic foundation, based on Eringen's nonlocal elasticity theory. The DWCNTs are modeled as two coupled Euler–Bernoulli (EB) beams, explicitly incorporating intertube van der ...
Ayşegül Tepe
wiley   +1 more source

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

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, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source

A Decompositional Approach for Two‐Dimensional, Two‐Phase, Nonlinear Inverse Stefan Problems Using the Method of Fundamental Solutions

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In this paper, we propose a decompositional (phase‐wise split) approach to solve a two‐dimensional, two‐phase (solid and liquid, say), nonlinear inverse Stefan problem. The first step is to approximate the unknown moving boundary between the two phases and the Stefan condition on that boundary using the overspecified boundary and initial data ...
Gujji Murali Mohan Reddy, Phalguni Nanda, Michael Vynnycky   +2 more
wiley   +1 more source

Super‐Convergent Meshless Computations for Active Vibration Control of Bi‐Directional Functionally Graded Terfenol‐D Beams with Twisted Geometry

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, Tanmoy Mukhopadhyay, Susmita Naskar   +2 more
wiley   +1 more source

Flow of Elastoviscous Nanofluid Through an Elongating Surface With Dissipative Heat: A Confluent Hypergeometric Solution

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, S. R. Mishra, Ram Prakash Sharma, Laxmipriya Swain   +3 more
wiley   +1 more source

Thermal Radiative Flow and Entropy Generation in MHD Williamson Hybrid Nanofluid (Cu+Ag)/H2O Over a Porous Stretching Sheet With Non‐Fourier Heat Flux and Heat Source

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This study investigates the radiative magnetohydrodynamic (MHD) flow of Williamson and hybrid Williamson nanofluids (Cu–water and Cu + Ag–water) over a porous, linearly stretching sheet with suction and internal heat generation. Although nanofluids have been extensively studied, limited research addresses the combined influence of non‐Fourier heat flux,
Tigabu Gubena, Wubshet Ibrahim, Zine El Abiddine Fellah   +2 more
wiley   +1 more source

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, Hasan Bulut, Ercan Çelik, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Developing Clean Technology through Approximate Solutions of Mathematical Models [PDF]

, 2012
In this paper, the role of mathematical modeling in the development of clean technology has been considered. One method each for obtaining approximate solutions of mathematical models by ordinary differential equations and partial differential ...
Anake, T. A.
core   +1 more source