Results 31 to 40 of about 415 (160)
Case Studies in Thermal Engineering, 2021 The main aim of this paper is to propose a new boundary element method (BEM) formulation for solving the nonlinear space-time fractional dual-phase-lag bio-heat transfer problems during electromagnetic radiation. Due to the advantages of BEM, such as not
Mohamed Abdelsabour Fahmy
doaj +1 more source
Dynamical Analysis of Fractional Integro-Differential Equations
Mathematics, 2022 In this article, we solve fractional Integro differential equations (FIDEs) through a well-known technique known as the Chebyshev Pseudospectral method. In the Caputo manner, the fractional derivative is taken.
Taher S. Hassan +3 more
doaj +1 more source
A new approach for solving Duffing equations involving both integral and non-integral forcing terms
Ain Shams Engineering Journal, 2014 In this paper a Legendre wavelet operational matrix of derivative (LWOM) is used to solve the Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions.
S. Balaji
doaj +1 more source
Legendre Wavelets Method for Solving Fractional Population Growth Model in a Closed System [PDF]
Mathematical Problems in Engineering, 2013 A new operational matrix of fractional order integration for Legendre wavelets is derived. Block pulse functions and collocation method are employed to derive a general procedure for forming this matrix. Moreover, a computational method based on wavelet expansion together with this operational matrix is proposed to obtain approximate solution of the ...
M. H. Heydari +3 more
openaire +3 more sources
Boundary Value ProblemsThis study aims to explore the Legendre wavelet method for numerically solving neutral fractional differential equations with constant delay using fractional derivatives in the Hilfer sense.
Kanagaraj Muthuselvan +3 more
doaj +1 more source
An Extended Legendre Wavelet Method for Solving Differential Equations with Non-Analytic Solutions
Journal of Mathematical Extension, 2014 . Although spectral methods such as Galerkin and Tau methods do not work well for solving ordinary differential equations in which, at least, one of the coefficient functions or solution function is not analytic [1], but it is shown that the Legendre ...
F. Mohammadi
doaj
Legendre Wavelets-Picard Iteration Method for Solution of Nonlinear Initial Value Problems [PDF]
International Journal of Applied Physics and Mathematics, 2013 Numerical methods for solving initial value problems (IVPs) are of fundamental importance for analyzing and controlling dynamic systems. In this paper, we first present a new Legendre wavelets-Picard iteration method (LWPIM) for solving IVPs. Combining Legendre wavelets method with Picard iteration method, LWPIM iteratively refines estimates of the ...
Fu-Kang Yin +3 more
openaire +1 more source
Results in Applied Mathematics, 2022 The present work is devoted to developing two numerical techniques based on fractional Bernstein polynomials, namely fractional Bernstein operational matrix method, to numerically solving a class of fractional integro-differential equations (FIDEs).
M.H.T. Alshbool +3 more
doaj +1 more source
Discontinuous Legendre Wavelet Galerkin Method for Optimal Control of Time Delayed Systems
International Journal of Circuits, Systems and Signal Processing, 2020 Time-delay systems arise in many important applications in science and engineering and optimal control of delay differential equations are of theoretical and practical importance. This paper presents discontinuous Legendre wavelet Galerkin (DLWG) approach for solving optimal control problem of time-delayed systems.
Xiaoyang Zheng +2 more
openaire +1 more source
Axioms, 2018 This paper presents a new efficient method for the numerical solution of a linear time-dependent partial differential equation. The proposed technique includes the collocation method with Legendre wavelets for spatial discretization and the three-step ...
Mina Torabi, Mohammad-Mehdi Hosseini
doaj +1 more source