Results 31 to 40 of about 111,766 (161)
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
doaj +1 more source
Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method
Journal of Applied Mathematics, 2021 Pollution has become an intense danger to our environment. The lake pollution model is formulated into the three-dimensional system of differential equations with three instances of input.
Indranil Ghosh +3 more
doaj +1 more source
SIMPLE PARAMETRIZATION METHODS FOR GENERATING ADOMIAN POLYNOMIALS
, 2016 In this paper, we discuss two simple parametrization methods for calculating Adomian polynomials for several nonlinear operators, which utilize the orthogonality of functions e(inx), where n is an integer. Some important properties of Adomian polynomials
P. Vellaisamy +3 more
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
doaj +1 more source
Reduced Polynomials and Their Generation in Adomian Decomposition Methods
, 2010 Adomian polynomials are constituted of reduced polynomials and derivatives of nonlinear operator. The reduced polynomials are independent of the form of the nonlinear operator.
Jun-Sheng Duan, Ai-Ping Guo
core +1 more source
A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer
International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira +5 more
wiley +1 more source
Artificial Intelligence for Engineering, Volume 2, Issue 3, Page 251-264, September 2026.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 +4 more
wiley +1 more source
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
wiley +1 more source
Singular polynomials from orbit spaces [PDF]
, 2012 We consider the polynomial representation S(V*) of the rational Cherednik algebra H_c(W) associated to a finite Coxeter group W at constant parameter c.
Feigin, M., Silantyev, A.
core +1 more source
Journal of Applied Mathematics, 2014 The modified decomposition method (MDM) and homotopy perturbation method (HPM) are applied to obtain the approximate solution of the nonlinear model of tumour invasion and metastasis.
Norhasimah Mahiddin, S. A. Hashim Ali
doaj +1 more source