• 제목/요약/키워드: ractional differential equation

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A PREDICTOR-CORRECTOR METHOD FOR FRACTIONAL EVOLUTION EQUATIONS

  • Choi, Hong Won;Choi, Young Ju;Chung, Sang Kwon
    • 대한수학회보
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    • 제53권6호
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    • pp.1725-1739
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    • 2016
  • Abstract. Numerical solutions for the evolutionary space fractional order differential equations are considered. A predictor corrector method is applied in order to obtain numerical solutions for the equation without solving nonlinear systems iteratively at every time step. Theoretical error estimates are performed and computational results are given to show the theoretical results.