Journal of applied mathematics & informatics

  • 제42권3호
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  • Pages.695-708
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  • 2024
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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DEVELOPMENT OF A NON-STANDARD FINITE DIFFERENCE METHOD FOR SOLVING A FRACTIONAL DECAY MODEL

  • 투고 : 2024.01.08
  • 심사 : 2024.03.19
  • 발행 : 2024.05.30
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⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we present a non-standard finite difference method for solving a fractional decay model. The proposed NSFDM is constructed by incorporating a non-standard denominator function, resulting in an explicit numerical scheme as easy as the conventional Euler method, but it provides very accurate solutions and has unconditional stability. Two examples from the literature are presented to demonstrate the performance of the proposed numerical scheme, which is compared to three methods from the literature. It is found that the method's estimated errors are extremely minimal, such as within the machine precision.

키워드

과제정보

Financial support from Universiti Sains Malaysia's Graduate On Time Incentive with account number 1001/PMATHS/823233 is gratefully acknowledged.

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