Numerical simulation and error analysis for a novel fractal–fractional reaction diffusion model with weighted reaction
L Zhang, K Lu, B Ahmad - Mathematics and Computers in Simulation, 2025 - Elsevier
A new fractal-fractional reaction diffusion model with weighted reaction is investigated in this
paper. Using Chelyshkov polynomials, we construct the associated Chelyshkov operator …
paper. Using Chelyshkov polynomials, we construct the associated Chelyshkov operator …
[HTML][HTML] Explicit Runge–Kutta Numerical Manifold Method for Solving the Burgers' Equation via the Hopf–Cole Transformation
Y Sun, Q Chen, T Chen, L Yong - Symmetry, 2024 - mdpi.com
This paper presents an efficient numerical manifold method for solving the Burgers'
equation. To improve accuracy and streamline the solution process, we apply a nonlinear …
equation. To improve accuracy and streamline the solution process, we apply a nonlinear …
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 …
Explicit Numerical Manifold Characteristic Galerkin Method for Solving Burgers' Equation
Y Sun, Q Chen, T Chen, L Yong - Axioms, 2024 - mdpi.com
This paper presents a nonstandard numerical manifold method (NMM) for solving Burgers'
equation. Employing the characteristic Galerkin method, we initially apply the Crank …
equation. Employing the characteristic Galerkin method, we initially apply the Crank …
The Advection-Diffusion-Reaction Equation: A Numerical Approach Using a Combination of Approximation Techniques.
The article focuses on developing a numerical method for solving the advection-diffusion-
reaction equation using a combination of approximation techniques. Topics include the …
reaction equation using a combination of approximation techniques. Topics include the …