Results 31 to 40 of about 141 (135)
Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method [PDF]
, 2010 Mathematics Subject Classi¯cation 2010: 26A33, 65D25, 65M06, 65Z05.In the present paper we solve space-time fractional diffusion-wave equation with two space variables, using the matrix method.
Manohar, Pratibha, Garg, Mridula
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Alexandria Engineering Journal, 2020 In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi +2 more
doaj +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.Numerical solutions for second‐order parabolic partial differential equations (PDEs), specifically the nonlinear heat equation, are investigated with a focus on analyzing residual corrections. Initially, the Galerkin weighted residual method is employed to rigorously formulate the heat equation and derive numerical solutions using third‐degree ...
Md. Shafiqul Islam +3 more
wiley +1 more source
A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS [PDF]
, 2009 We propose a novel numerical approach for delay differential equations with vanishing proportional delays based on spectral methods. A Legendre-collocation method is employed to obtain highly accurate numerical approximations to the exact solution. It is
Hermann Brunner, Ishtiaq Ali, Tao Tang
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Ain Shams Engineering Journal, 2018 A class of basis functions so called well-conditioned RBF (WRBFs) has been introduced. This basis has been manipulated by adding cardinal functions to the conditionally negative definite RBFs of order 1, such as Multiquadric functions 1+(∊r)2 (MQ) and ...
Saeed Kazem +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper presents a class of singularly perturbed parabolic‐type reaction diffusion problems. Due to the presence of a small parameter ε, (0 < ε ≪ 1) as a diffusion coefficient, the proposed problem exhibits twin boundary layers in the neighborhood of the end points of the spatial domain near x = 0 and x = 1.
Amare Worku Demsie +3 more
wiley +1 more source
A Compact Alternating Direction Implicit Scheme for Two-Dimensional Fractional Oldroyd-B Fluids [PDF]
, 2015 [Vasileva Daniela; Василева Даниела]; [Bazhlekov Ivan; Бажлеков Иван]; [Bazhlekova Emilia; Бажлекова Емилия]The two-dimensional Rayleigh-Stokes problem for a generalized Oldroyd-B fluid is considered in the present work.
Bazhlekova, Emilia +3 more
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Finite difference scheme for a high order nonlinear Schrödinger equation with localized damping
, 2019 In this work we present a finite difference scheme used to solve a High order Nonlinear Schrödinger Equation. These equations can model the propagation of solitons travelling in fiber optics ([3], [11]).
SEPÚLVEDA C., Mauricio A. +3 more
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, 2020 The problem of combined effect of heat generation/absorption and thermal radiation on unsteady, laminar, natural convective movement with MHD, viscous dissipation over a vertical cone in the presence of variable heat flux is considered. The converted FDE’
KANNAN , Rayampettai Munisamy +1 more
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Nonstandard Finite Difference Schemes with Application to Finance: Option Pricing [PDF]
, 2010 2000 Mathematics Subject Classification: 65M06, 65M12.The paper is devoted to pricing options characterized by discontinuities in the initial conditions of the respective Black-Scholes partial differential equation. Finite difference schemes are examined
Milev, Mariyan, Tagliani, Aldo
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