Numerical Solution of Space Fractional Schrodinger equation by fractional Clique collocation method

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Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Cilt: 18 Sayı: 2
Numerical Solution of Space Fractional Schrodinger equation by fractional Clique collocation method

Numerical Solution of Space Fractional Schrodinger equation by fractional Clique collocation method

Authors : Mine Aylin Bayrak, Ali Demir

Pages : 54-59

Doi:10.58688/kujs.1702711

View : 37 | Download : 32

Publication Date : 2025-12-26

Article Type : Research Paper

Abstract :This research presents the establishment of numerical solutions for space fractional Schrodinger problem (SFSP) by utilizing significant collocation methods, called fractional Clique collocation method (FCCM). First of all, the SFSP is reduced into a system of ordinary differential and algebraic equations by means of fractional Clique polynomials with collocation points. Secondly, the resulting system is solved numerically by Residual power series method (RPSM).Therefore, FCCM is a combination of fractional Clique polynomials and RPSM. Finally, illustrative examples are given to present how FCCM is striking and appealing.
Keywords : Uzay kesirli Schrodinger denklemi, Cilque polinomları, Rezidüel kuvvet serisi yöntemi

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