Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: Application to certain types of fourth-order BVPs
WM Abd-Elhameed, YH Youssri - International Journal of Applied and …, 2020 - Springer
In this work, we give new explicit solutions for the connection problems between generalized
Lucas polynomial sequence and the two polynomials, namely third and fourth kinds of …
Lucas polynomial sequence and the two polynomials, namely third and fourth kinds of …
Chebyshev polynomial derivative-based spectral tau approach for solving high-order differential equations
In this paper, Chebyshev polynomial derivative-based spectral schemes are constricted for
solving linear and non-linear ordinary differential equations. Linearization relation and some …
solving linear and non-linear ordinary differential equations. Linearization relation and some …
Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs
Herein, new orthogonal polynomials have been generated from shifted Chebyshev
polynomials that fulfill a given set of homogeneous boundary conditions and the necessary …
polynomials that fulfill a given set of homogeneous boundary conditions and the necessary …
[PDF][PDF] Mixed Chebyshev and Legendre polynomials differentiation matrices for solving initial-boundary value problems
A new form of basis functions structures has been constructed. These basis functions
constitute a mix of Chebyshev polynomials and Legendre polynomials. The main purpose of …
constitute a mix of Chebyshev polynomials and Legendre polynomials. The main purpose of …
Solving real-life BVPs via the second derivative Chebyshev pseudo-Galerkin method
The aim of this paper is to use the second derivative of Chebyshev polynomials (SDCHPs)
as basis functions for solving linear and nonlinear boundary value problems (BVPs). Then …
as basis functions for solving linear and nonlinear boundary value problems (BVPs). Then …
[PDF][PDF] Galerkin residual correction for fourth order BVP
This article uses residual correction procedure for improving the Galerkin approximate
solutions to higher order boundary value problem (BVP). The residual function of a …
solutions to higher order boundary value problem (BVP). The residual function of a …
A New Multi-Domain Spectral Method for Korteweg-de Vries Equation on The Whole Line
T Wang - Journal of Scientific Computing, 2022 - Springer
Abstract Some composite generalized Laguerre-Legendre quasi-orthogonal approximation
results on the whole line are established. A novel multi-domain composite generalized …
results on the whole line are established. A novel multi-domain composite generalized …
An efficient Legendre–Galerkin spectral element method for the steady flows in rectangular cavities
J Zhang, J Jiao, F Lin, W Li, T Sun - International Journal of …, 2020 - Taylor & Francis
An efficient Legendre–Galerkin spectral element method for the steady flows in rectangular
cavities is proposed in this paper. Firstly, we eliminate the singularity of biharmonic equation …
cavities is proposed in this paper. Firstly, we eliminate the singularity of biharmonic equation …
Galerkin Residual Correction for Fourth Order BVP
MN Sohel, MS Islam, MS Islam - Journal of Applied Mathematics …, 2022 - hillpublisher.com
This article uses residual correction procedure for improving the Galerkin approximate
solutions to higher order boundary value problem (BVP). The residual function of a …
solutions to higher order boundary value problem (BVP). The residual function of a …
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MN Sohel, MS Islam, MS Islam - hillpublisher.com
This article uses residual correction procedure for improving the Galerkin approximate
solutions to higher order boundary value problem (BVP). The residual function of a …
solutions to higher order boundary value problem (BVP). The residual function of a …