대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제38권1호
  • /
  • Pages.281-298
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  • 2023
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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NUMERICAL METHOD FOR A SYSTEM OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS

  • S. Joe Christin Mary (Department of Mathematics Bharathidasan University) ;
  • Ayyadurai Tamilselvan (Department of Mathematics Bharathidasan University)
  • 투고 : 2021.07.19
  • 심사 : 2022.07.26
  • 발행 : 2023.01.31
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초록

A class of systems of Caputo fractional differential equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a uniform mesh is proposed. Supremum norm is used to derive an error estimate which is of order κ − 1, 1 < κ < 2. Numerical examples are given which validate our theoretical results.

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과제정보

The first author wishes to thank Bharathidasan University for its financial support under URF scheme. The authors wish to thank Department of Science and Technology, Government of India, for the computing facility under DST-PURSE phase II Scheme.

참고문헌

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