Numerical Solution of the Burgers' Equation Using Chelyshkov Polynomials
N Arar, B Deghdough, S Dekkiche, Z Torch… - International Journal of …, 2024 - Springer
A numerical approach to approximate the nonlinear Burgers' equation solution is presented
in this article. By temporally discretizing the problem using the Crank-Nicolson scheme, we …
in this article. By temporally discretizing the problem using the Crank-Nicolson scheme, we …
Enhanced numerical resolution of the Duffing and Van der Pol equations via the spectral homotopy analysis method employing chebyshev polynomials of the first kind
M Bouakkaz, N Arar, M Meflah - Journal of Applied Mathematics and …, 2024 - Springer
In our investigation, we apply the spectral homotopy analysis method (SHAM) to tackle the
numerical resolution of the Duffing and Van Der Pol equations. We compute the numerical …
numerical resolution of the Duffing and Van Der Pol equations. We compute the numerical …
Numerical study of boundary problems for partial differential equations
L Zineb - 2024 - dspace.centre-univ-mila.dz
The aim of this work is to study various problems of mathematical equations using spectral
methods. It develops four numerical techniques suitable for every studied problem and …
methods. It develops four numerical techniques suitable for every studied problem and …
[PDF][PDF] SOLVING STRONGLY NONLINEAR FRACTIONAL FREDHOLM INTEGRAL-DIFFERENTIAL EQUATIONS IN CAPUTO'S SENSE USING THE SBA METHOD
G KABORE, B ABBO, O SO, B SOME - ajmaa.org
The work addressed in this article consists in constructing the exact solutions, where they
exist, of fractional Fredholm-type integro-differential equations in the sense of Caputo. Our …
exist, of fractional Fredholm-type integro-differential equations in the sense of Caputo. Our …