A STABLE SECOND ORDER OF ACCURACY DIFFERENCE SCHEME FOR A FRACTIONAL SCHRODINGER DIFFERENTIAL EQUATION

In the present paper, we present and analyze a second order of accuracy difference scheme for solving a fractional Schrodinger differential equation with the fractional derivative in the Riemann Louville sense. A stability analysis is performed on the presented difference scheme. Numerical results confirm the expected convergence rates and illustrate the effectiveness of the method.

Авторы
Ashyralyev A. 1, 2, 3 , Hicdurmaz B.4
Издательство
MINISTRY COMMUNICATIONS & HIGH TECHNOLOGIES REPUBLIC AZERBAIJAN
Номер выпуска
1
Язык
Английский
Страницы
10-21
Статус
Опубликовано
Том
17
Год
2018
Организации
  • 1 Near East Univ, Dept Math, Mersin 10, Nicosia, Turkey
  • 2 Peoples Friendship Univ Russia, Ul Miklukho Maklaya 6, Moscow 117198, Russia
  • 3 Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
  • 4 Istanbul Medeniyet Univ, Fac Engn & Nat Sci, Dept Math, TR-34700 Istanbul, Turkey
Ключевые слова
Stability; Fractional Schrodinger Equation; Difference Scheme; Numerical Results
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