Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials

S Sedaghat, Y Ordokhani, M Dehghan - Communications in Nonlinear …, 2012 - Elsevier
In this article we propose a numerical scheme to solve the pantograph equation. The
method consists of expanding the required approximate solution as the elements of the …

A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals

AH Bhrawy, E Tohidi, F Soleymani - Applied Mathematics and Computation, 2012 - Elsevier
This article develops an efficient direct solver for solving numerically the high-order linear
Fredholm integro-differential equations (FIDEs) with piecewise intervals under initial …

[HTML][HTML] Stability analysis of magnetohydrodynamic Casson fluid flow and heat transfer past an exponentially shrinking surface by spectral approach

VB Awati, A Goravar, M Kumar, G Bognár - Case studies in thermal …, 2024 - Elsevier
The present analysis examines the magnetohydrodynamic (MHD) flow of non-Newtonian
Casson fluid on an exponentially shrinking surface under constant and exponentially …

Spectral and Haar wavelet collocation method for the solution of heat generation and viscous dissipation in micro-polar nanofluid for MHD stagnation point flow

VB Awati, A Goravar, M Kumar - Mathematics and Computers in Simulation, 2024 - Elsevier
The aim and significance of paper presents, the semi-numerical investigation of
magnetohydrodynamic flow of micropolar nanofluid with stagnation point is carried out …

Chebyshev polynomial solutions of systems of higher-order linear Fredholm–Volterra integro-differential equations

A Akyüz-Daşcıoğlu, M Sezer - Journal of the Franklin Institute, 2005 - Elsevier
A Chebyshev collocation method, an expansion method, has been proposed in order to
solve the systems of higher-order linear integro-differential equations. This method …

Chelyshkov collocation method for a class of mixed functional integro-differential equations

C Oğuz, M Sezer - Applied Mathematics and Computation, 2015 - Elsevier
In this study, a numerical matrix method based on Chelyshkov polynomials is presented to
solve the linear functional integro-differential equations with variable coefficients under the …

[HTML][HTML] Numerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases

Ş Yüzbaşı, N Şahin, M Sezer - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, a numerical matrix method based on collocation points is presented for the
approximate solution of the systems of high-order linear Fredholm integro-differential …

[HTML][HTML] A computational matrix method for solving systems of high order fractional differential equations

MM Khader, TS El Danaf, AS Hendy - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, we introduced an accurate computational matrix method for solving systems of
high order fractional differential equations. The proposed method is based on the derived …

[HTML][HTML] Chebyshev collocation method for fractional Newell-Whitehead-Segel equation

E Gebril, MS El-Azab, M Sameeh - Alexandria Engineering Journal, 2024 - Elsevier
In this paper, a collocation approach for the fractional Newell-Whitehead-Segel equation is
described. The finite difference method is used to discretized the time-fractional derivative …

[HTML][HTML] A collocation approach for solving systems of linear Volterra integral equations with variable coefficients

N Şahı̇n, Ş Yüzbaşı, M Gülsu - Computers & Mathematics with …, 2011 - Elsevier
In this paper, a numerical method is introduced to solve a system of linear Volterra integral
equations (VIEs). By using the Bessel polynomials and the collocation points, this method …