Jacobi spectral discretization for nonlinear fractional generalized seventh-order KdV equations with convergence analysis
R. M. Hafez, Y. H. Youssri
We developed a numerical scheme to solve
the nonlinear fractional (NF) generalized seventh order KdV (sKdV)
equation with time-space-fractional using the shifted Jacobi
collocation method. Basically, a time-space collocation
approximation for temporal and spatial discretizations is employed
efficiently to tackle these equations. The convergence and stability
analyses of the suggested basis functions are presented in-depth.
The validity and efficiency of the proposed method are investigated
and verified through numerical examples.
Tbilisi Mathematical Journal, Vol. 13(2) (2020), pp. 129-148