TY - JOUR
T1 - Sinc collocation linked with finite differences for Korteweg-de Vries Fractional Equation
AU - Al-Khaled, Kamel
N1 - Publisher Copyright:
© 2020 Insitute of Advanced Engineeering and Science.
PY - 2020
Y1 - 2020
N2 - A novel numerical method is proposed for Korteweg-de Vries Fractional Equation. The fractional derivatives are described based on the Caputo sense. We construct the solution using different approach, that is based on using collocation techniques. The method combining a finite difference approach in the time-fractional direction, and the Sinc-Collocation in the space direction, where the derivatives are replaced by the necessary matrices, and a system of algebraic equations is obtained to approximate solution of the problem. The numerical results are shown to demonstrate the efficiency of the newly proposed method. Easy and economical implementation is the strength of this method.
AB - A novel numerical method is proposed for Korteweg-de Vries Fractional Equation. The fractional derivatives are described based on the Caputo sense. We construct the solution using different approach, that is based on using collocation techniques. The method combining a finite difference approach in the time-fractional direction, and the Sinc-Collocation in the space direction, where the derivatives are replaced by the necessary matrices, and a system of algebraic equations is obtained to approximate solution of the problem. The numerical results are shown to demonstrate the efficiency of the newly proposed method. Easy and economical implementation is the strength of this method.
KW - Fractional derivative
KW - Korteweg-de Vries Equation
KW - Numerical solutions
KW - Sinc-Collocation
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U2 - 10.11591/ijece.v10i1.pp512-520
DO - 10.11591/ijece.v10i1.pp512-520
M3 - Article
AN - SCOPUS:85076408399
SN - 2088-8708
VL - 10
SP - 512
EP - 520
JO - International Journal of Electrical and Computer Engineering
JF - International Journal of Electrical and Computer Engineering
IS - 1
ER -