Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations

MA Abd El Salam, MA Ramadan, MA Nassar… - Advances in Difference …, 2021 - Springer
In this work, a numerical technique for solving general nonlinear ordinary differential
equations (ODEs) with variable coefficients and given conditions is introduced. The …

An effective numerical method for solving the nonlinear singular Lane-Emden type equations of various orders

K Parand, M Delkhosh - Jurnal Teknologi, 2017 - journals.utm.my
The Lane-Emden type equations are employed in the modeling of several phenomena in
the areas of mathematical physics and astrophysics. These equations are categorized as …

A Comparison Study of Numerical Techniques for Solving Ordinary Differential Equations Defined on a Semi‐Infinite Domain Using Rational Chebyshev Functions

MA Ramadan, T Radwan, MA Nassar… - Journal of Function …, 2021 - Wiley Online Library
A rational Chebyshev (RC) spectral collocation technique is considered in this paper to
solve high‐order linear ordinary differential equations (ODEs) defined on a semi‐infinite …

Peridynamic differential operator-based nonlocal numerical paradigm for a class of nonlinear differential equations

X Yu, A Chen, H Chang - Computational Particle Mechanics, 2023 - Springer
This paper presents a novel nonlocal numerical paradigm for a class of general nonlinear
ordinary differential equations using the peridynamic differential operator. Differential …

A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations

M Abdel-Latif Ramadan, K Raslan… - Computational …, 2015 - cmde.tabrizu.ac.ir
The purpose of this study is to present an approximate numerical method for solving high
order linear Fredholm-Volterra integro-differential equations in terms of rational Chebyshev …

External natural convection

DA Nield, A Bejan, DA Nield, A Bejan - Convection in Porous Media, 2017 - Springer
Numerical calculation from the full differential equations for convection in an unbounded
region is expensive, and hence approximate solutions are important. For small values of the …

[PDF][PDF] Solving natural convection of Darcian fluid in porous media using rational Chebyshev collocation method

MA Nassar, MA Ramadan, KR Raslan - Appl. Math, 2020 - naturalspublishing.com
In this paper, numerical technique is introduced for solving natural convection of Darcian
fluid about a vertical full cone embedded in porous media with a prescribed wall …

Rational Chebyshev collocation method for the similarity solution of two dimensional stagnation point flow

A Golbabai, S Samadpour - Indian Journal of Pure and Applied …, 2018 - Springer
In this study, we propose an efficient and accurate numerical technique that is called the
rational Chebyshev collocation (RCC) method to solve the two dimensional flow of a viscous …

[PDF][PDF] Research Article A Comparison Study of Numerical Techniques for Solving Ordinary Differential Equations Defined on a Semi-Infinite Domain Using Rational …

MA Ramadan, T Radwan, MA Nassar… - Rn, 2021 - academia.edu
A rational Chebyshev (RC) spectral collocation technique is considered in this paper to
solve high-order linear ordinary differential equations (ODEs) defined on a semi-infinite …

[PDF][PDF] On the Double Rational Chebyshev Functions: Definition, Properties and Application for Partial Differential Equations

MARMA Nassar - Rn (x), 2021 - ntmsci.com
In this paper, the concept of double rational Chebyshev (RC) functions on semi-infinite
domain (0≤ x, y<∞) and some of their properties are introduced for the first time by the …