Results 71 to 80 of about 892,367 (145)

Numerical treatments of nonlinear Burgers–Fisher equation via a combined approximation technique

Kuwait Journal of Science
A combined spectral matrix collocation strategy is presented to solve the time-dependent nonlinear Burgers–Fisher equation pertaining to various important physical mechanisms such as advection, diffusion, and logistic reaction.
Mohammad Izadi, Hari Mohan Srivastava
doaj   +1 more source

Improved numerical schemes to solve general fractional diabetes models

Alexandria Engineering Journal
In this article, we propose a new class of nonlinear fractional differential equations of diabetes disease based on the concept of Caputo fractional derivative.
Muner M. Abou Hasan, Ahlam M. Alghanmi, Hannah Al Ali, Zindoga Mukandavire   +3 more
doaj   +1 more source

An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus. [PDF]

Chaos Solitons Fractals, 2020
Srivastava HM, Saad KM, Khader MM.
europepmc   +1 more source

Multidomain Decomposition of Curved Geometries in the Chebyshev Collocation Method for Thermal Problems

, 1994
A general spectral method is proposed for the numerical solution of the steady 2D thermal convection equations. The spatial discretization is performed by means of Chebyshev orthogonal collocation which is preconditioned by a standard Galerkin finite ...
2nd International Conference on Spectral and High Order Methods (ICOSAHOM 92), Schneidesch, CR., Deville, MO.   +2 more
core   +1 more source

Spectral Optimized Multiderivative Hybrid Block Method for Fitzhugh–Nagumo Equations

International Journal of Differential Equations
The Fitzhugh–Nagumo equation, a key model for excitable systems in biology and neuroscience, requires efficient numerical methods due to its nonlinear nature.
Uthman O. Rufai, Precious Sibanda, Sicelo P. Goqo, Salma A. A. Ahmedai, Adeyinka S. Adeyemo   +4 more
doaj   +1 more source

Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]

, 2013
We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
core   +1 more source

Space-time Legendre Spectral Collocation Methods

, 2017
Spectral methods solve elliptic PDEs numerically with errors bounded by an exponentially decaying function of the number of modes when the solution is analytic. For time dependent problems, almost all focus has been on low-order finite difference schemes
Lui, Shaun
core   +1 more source

High-accuracy solution of pantograph differential equations subject to mixed boundary conditions via shifted Vieta–Lucas polynomials

Boundary Value Problems
We propose two precise spectral techniques based on shifted Vieta–Lucas polynomials (SVLPs) for the solution of pantograph-type differential equations (PTDEs) subject to general mixed-type boundary conditions (MTBCs). A Galerkin method (GM) is formulated
R. M. Hafez, H. M. Ahmed
doaj   +1 more source

Collocation spectral methods in the solution of poisson equation

, 1998
The Poisson equation is a very important partial differential equation for many branches of science and engineering. A fast, robust and accurate Poisson equation solver can find immediate applications in many fields such as electrical engineering ...
Su, Yuhong
core   +1 more source

A space-time spectral collocation algorithm for the variable order fractional wave equation. [PDF]

Springerplus, 2016
Bhrawy AH, Doha EH, Alzaidy JF, Abdelkawy MA.   +3 more
europepmc   +1 more source