Shifted Jacobi collocation scheme for multidimensional time-fractional order telegraph equation
Ramy M. Hafez, Y. H. Youssri
Abstract
We propose a numerical scheme to solve a general class of time-fractional order telegraph equation in multidimensions using collocation points nodes and approximating the solution using double shifted Jacobi polynomials. The main characteristic behind this approach is to investigate a time-space collocation approximation for temporal and spatial discretizations. The applica bility and accuracy of the present technique have been examined by the given numerical examples in this paper. By means of these numerical examples, we ensure that the present technique is simple, applicable, and accurate.
Topics & Concepts
Collocation (remote sensing)Scheme (mathematics)MathematicsOrder (exchange)Telegrapher's equationsOrthogonal collocationApplied mathematicsMathematical analysisComputer scienceCollocation methodTelecommunicationsDifferential equationFinanceEconomicsMachine learningTransmission lineOrdinary differential equationFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNumerical methods for differential equations