WebFeb 1, 2024 · A new fractal-fractional (FF) derivative operator with Mittag-Leffler function as its kernel is introduced. The orthonormal shifted discrete Chebyshev polynomials are generated. Some new operational matrices are derived for the mentioned basis polynomials. The FF model of the coupled nonlinear Schrodinger-Boussinesq equations is defined. WebNow we time extrapolate using the previously defined get_cheby_matrix (nx) method to call the differentiation matrix. The discrete values of the numerical simulation are indicated by dots in the animation, they represent the Chebyshev collocation points. Observe how the wavefield near the domain center is less dense than towards the boundaries.
(PDF) Chebyshev orthogonal collocation technique to solve …
WebOct 31, 2024 · In this study, a wavelet method is developed to solve a system of nonlinear variable-order (V-O) fractional integral equations using the Chebyshev wavelets (CWs) and the Galerkin method. For this purpose, we derive a V-O fractional integration operational matrix (OM) for CWs and use it in our method. In the established scheme, we … WebThe Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions, notated as and . They can be defined in several equivalent ways, one of … extended health provision
Chebyshev Orthogonal Collocation Technique to Solve
WebConsider the function defined by Using the ChebyshevndashGaussndashLobatto points it is possible to approximate the values of the two first derivatives of at these pointsThis … WebFeb 1, 2024 · To solve the above problem, we first introduce the orthonormal shifted discrete CPs and then obtain the operational matrices of their derivatives. Finally, by … WebThe fundamental matrix form of the discrete Chebyshev system is given by where The boundary conditions are integrated into system of in the following form: The final form of the system is given by We construct the two matrices and by replacing the first row and last row of the matrix by the corresponding row of boundary conditions. 4. extended health tax ontario