A new sixth-order algorithm for general second order ordinary differential equations

DO Awoyemi - International journal of computer mathematics, 2001 - Taylor & Francis
… solution of ordinary differential equations is the prudent management of computer time, which
… value problems in ordinary differential equations, International Journal of Computer and …

A class of continuous methods for general second order initial value problems in ordinary differential equations

DO Awoyemi - International journal of computer mathematics, 1999 - Taylor & Francis
In this paper we propose a class of continuous methods for the solution of initial value problems
of general second order ordinary differential equations . The procedure which yields a …

The challenge of computer mathematics

H Barendregt, F Wiedijk - … Royal Society A: Mathematical …, 2005 - royalsocietypublishing.org
… Our view on automating computer mathematics is that a proof … computer mathematics should
provide exactly those unconscious steps in the proof. (There is a risk of having the computer

The effect of network topology on the spread of computer viruses: a modelling study

LX Yang, X Yang - International Journal of Computer Mathematics, 2017 - Taylor & Francis
This paper is intended to investigate the effect of network topology on the spread of computer
viruses in the presence of removable storage media. For that purpose, a novel network-…

A computational method for solving optimal control and parameter estimation of linear systems using Haar wavelets

HR Karimi, B Lohmann, PJ Maralani… - … Computer Mathematics, 2004 - Taylor & Francis
In this article, a computational method based on Haar wavelet in time-domain for solving the
problem of optimal control of the linear time invariant systems for any finite time interval is …

Solitons and periodic solutions of coupled nonlinear evolution equations by using the sine–cosine method

E Yusufoğlu, A Bekir - … Journal of Computer Mathematics, 2006 - Taylor & Francis
In this paper, we establish exact solutions for coupled nonlinear evolution equations. The
sine–cosine method is used to construct exact periodic and soliton solutions of coupled …

A recent survey on computational techniques for solving singularly perturbed boundary value problems

M Kumar, P Singh, HK Mishra - … Journal of Computer Mathematics, 2007 - Taylor & Francis
This survey paper contains a surprisingly large amount of material and indeed can serve as
an introduction to some of ideas and methods of singular perturbation theory. In continuation …

A new parameter free filled function for solving unconstrained global optimization problems

AI Ahmed - International Journal of Computer Mathematics, 2021 - Taylor & Francis
The filled function method is an efficient approach for finding a global minimizer of global
optimization problems. This paper introduces a new filled function which overcomes the …

A conservative exponential time differencing method for the nonlinear cubic Schrödinger equation

AG Bratsos, AQM Khaliq - … Journal of Computer Mathematics, 2017 - Taylor & Francis
A mass and energy conservative exponential time differencing scheme using the method of
lines is proposed for the numerical solution of a certain family of first-order time-dependent …

A mini-review of numerical methods for high-order problems

A Boutayeb, A Chetouani - … Journal of Computer Mathematics, 2007 - Taylor & Francis
In this paper we present a mini-review of the numerical methods most commonly used during
the last two decades to solve high-order ordinary differential equations, including initial-…