Results 31 to 40 of about 1,113 (112)
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
New numerical approach for fractional differential equations
, 2017 In the present case, we propose the correct version of the fractional Adams-Bashforth methods which take into account the nonlinearity of the kernels including the power law for the Riemann-Liouville type, the exponential decay law for the Caputo ...
Atangana, Abdon, Owolabi, Kolade M.
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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
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
Efficient PML for the wave equation [PDF]
, 2009 In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, however, usually require wave equations stated in their standard second-order ...
Grote, Marcus J., Sim, Imbo
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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 Computational Method for the Time-Fractional Navier-Stokes Equation
Cumhuriyet Science Journal, 2018 In thisstudy, Navier-Stokes equations with fractional derivate are solved according totime variable. To solve these equations, hybrid generalized differentialtransformation and finite difference methods are used in various subdomains.The aim of this ...
Hüseyin Demir, İnci Çilingir Süngü
doaj +1 more source
Implicit method for nonlinear complex diffusion with applications to image denoising [PDF]
, 2017 In this paper we focus on the development and implementation of an implicit finite difference method for solving a complex diffusion differential equation with applications to noise filtering in images.
Oliveira, Marlon, Serranho, Pedro
core
Alexandria Engineering Journal, 2018 This article aims to obtain the numerical solution of nonlinear Burgers’ equation in one and two dimensions using hybrid trigonometric differential quadrature method.
Geeta Arora, Varun Joshi
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Numerical Simulation of a Turbulent Flow in a Channel with Surface Mounted Cubes [PDF]
, 1998 In this paper we report on a fourth-order, spectro-consistent simulation of a complex turbulent flow. A spatial discretization of a convection-diffusion equation is termed spectro-consistent if the spectral properties of the convective and diffusive ...
Veldman, A.E.P.,, Verstappen, R.W.C.P.,
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