Results 31 to 40 of about 1,280 (181)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

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

Usage of numerical methods to solve nonlinear mixed Volterra-Fredholm integral equations and their system

Results in Nonlinear Analysis, 2021
In this paper, we apply the homotopy perturbation method (HPM), modified homotopy perturbation method (MHPM), variational iteration method (VIM), Adomian decomposition method (ADM), and modified Adomian decomposition method (MADM) to solve nonlinear ...
Fawziah M. Al-saar, Kirtiwant P. Ghadle
doaj   +1 more source

A Detailed and Comprehensive Account of Fractional Physics‐Informed Neural Networks: From Implementation to Efficiency

Artificial Intelligence for Engineering, EarlyView.
Caputo‐based fPINNs accurately solve fractional ODEs and PDEs while exposing an accuracy–cost trade‐off driven by the history‐dependent fractional derivative. Temporal collocation and shorter time windows are the most effective strategies for improving early‐time accuracy without unnecessary spatial refinement.
Donya Dabiri, Joshua DaRosa, Milad Saadat, Deepak Mangal, Safa Jamali   +4 more
wiley   +1 more source

Computational Investigation of MHD Radiative Flow of Shape‐Dependent Al2O3$$ A{l}_2{O}_3 $$ and Fe3O4$$ F{e}_3{O}_4 $$ Nanofluids in A Semi‐Porous Channel

Engineering Reports, Volume 8, Issue 8, August 2026.
A computational study of unsteady MHD radiative nanofluid flow in a semi‐porous channel reveals that nanoparticle shape, volume fraction, and magnetic effects significantly influence velocity and heat transfer. Results highlight strong coupling between geometric, electromagnetic, and thermophysical parameters in optimizing thermal system performance ...
Mahmmoud M. Syam, Sondos M. Syam, Muhammed I. Syam   +2 more
wiley   +1 more source

Adomian decomposition method for solving initial value problems in vibration models

MATEC Web of Conferences, 2018
A number of engineering problems have second-order ordinary differential equations as their mathematical models. In practice, we may have a large scale problem with a large number of degrees of freedom, which must be solved accurately.
Mungkasi Sudi, Ekaputra I Made Wicaksana
doaj   +1 more source

New Generalised Semi‐Analytical Approach for the Multidimensional Nonlinear Collisional Fragmentation Equations

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, Ashok Das, Sukhjit Singh, Randhir Singh, Mehakpreet Singh   +4 more
wiley   +1 more source

Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order [PDF]

Notes on IFS
The aim of this work is to introduce the intuitionistic fuzzy Laplace Adomian decomposition method, in which we combine intuitionistic fuzzy Laplace transform with the intuitionistic fuzzy Adomian decomposition method.
Razika Ettoussi, Said Melliani, Lalla Saadia Chadli   +2 more
doaj   +1 more source

RESOLUTION OF RICCATI EQUATION BY THE METHOD DECOMPOSITIONAL OF ADOMIAN

International Journal of Research -GRANTHAALAYAH, 2016
In this work, we will use the method of decompositional for Adomian solve the Riccati equation in the form:                                    
Abdelbaki Choucha, Kaddour Guerbati
openaire   +2 more sources

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source