Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
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 …
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 …
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
The present analysis examines the magnetohydrodynamic (MHD) flow of non-Newtonian
Casson fluid on an exponentially shrinking surface under constant and exponentially …
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
The aim and significance of paper presents, the semi-numerical investigation of
magnetohydrodynamic flow of micropolar nanofluid with stagnation point is carried out …
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 …
solve the systems of higher-order linear integro-differential equations. This method …
Chelyshkov collocation method for a class of mixed functional integro-differential equations
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 …
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
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 …
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
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 …
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 …
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
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 …
equations (VIEs). By using the Bessel polynomials and the collocation points, this method …