Numerical study of 1D and 2D advection-diffusion-reaction equations using Lucas and Fibonacci polynomials
From MaRDI portal
Publication:2053743
DOI10.1007/s40065-021-00330-4OpenAlexW3184112211MaRDI QIDQ2053743
Ihteram Ali, Sirajul Haq, Shams Ul Arifeen, Kottakkaran Sooppy Nisar
Publication date: 30 November 2021
Published in: Arabian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40065-021-00330-4
Related Items
Cites Work
- Unnamed Item
- High-order compact solution of the one-dimensional heat and advection-diffusion equations
- Application of Fibonacci collocation method for solving Volterra-Fredholm integral equations
- A finite element approach for solution of Burgers' equation
- A finite difference method for a non-local boundary value problem for two-dimensional heat equation
- Lucas polynomial approach for system of high-order linear differential equations and residual error estimation
- A new algorithm based on Lucas polynomials for approximate solution of 1D and 2D nonlinear generalized Benjamin-Bona-Mahony-Burgers equation
- A new Fibonacci type collocation procedure for boundary value problems
- Sixth-kind Chebyshev spectral approach for solving fractional differential equations
- Generalized Lucas polynomial sequence approach for fractional differential equations
- Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
- On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method
- On the selection of a good value of shape parameter in solving time-dependent partial differential equations using RBF approximation method
- Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations
- An efficient numerical algorithm for multi-dimensional time dependent partial differential equations
- An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations
- A new numerical treatment based on Lucas polynomials for 1D and 2D sinh-Gordon equation
- Generalized Lucas polynomial sequence treatment of fractional pantograph differential equation
- A differential quadrature method for numerical solutions of Burgers'‐type equations
- Fibonacci and Lucas Numbers With Applications
- A fourth-order finite-difference method for solving the system of two-dimensional Burgers' equations
- Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation
- An explicit solution of coupled viscous Burgers' equation by the decomposition method