Matches in SemOpenAlex for { <https://semopenalex.org/work/W2893426469> ?p ?o ?g. }
- W2893426469 endingPage "93" @default.
- W2893426469 startingPage "71" @default.
- W2893426469 abstract "A high-order compact finite difference method is proposed for solving a class of time-fractional sub-diffusion equations. The diffusion coefficient of the equation may be spatially variable and the time-fractional derivative is in the Caputo sense with the order α ∈ (0, 1). The Caputo time-fractional derivative is discretized by a (3−α) th-order numerical formula (called the L2 formula here) which is constructed by piecewise quadratic interpolating polynomials but does not require any sub-stepping scheme for the approximation at the first-time level. The variable coefficient spatial differential operator is approximated by a fourth-order compact finite difference operator. By developing a technique of discrete energy analysis, a full theoretical analysis of the stability and convergence of the method is carried out for the general case of variable coefficient and for all α ∈ (0, 1). The optimal error estimate is obtained in the L2 norm and shows that the proposed method has the temporal (3−α) th-order accuracy and the spatial fourth-order accuracy. Further approximations are also considered for enlarging the applicability of the method while preserving its high-order accuracy. Applications are given to three model problems, and numerical results are presented to demonstrate the theoretical analysis results." @default.
- W2893426469 created "2018-10-05" @default.
- W2893426469 creator A5028426177 @default.
- W2893426469 creator A5037374495 @default.
- W2893426469 date "2019-02-01" @default.
- W2893426469 modified "2023-10-16" @default.
- W2893426469 title "A high-order L2-compact difference method for Caputo-type time-fractional sub-diffusion equations with variable coefficients" @default.
- W2893426469 cites W1213716720 @default.
- W2893426469 cites W1969312973 @default.
- W2893426469 cites W1977696410 @default.
- W2893426469 cites W1998341215 @default.
- W2893426469 cites W2025125818 @default.
- W2893426469 cites W2033593438 @default.
- W2893426469 cites W2045231411 @default.
- W2893426469 cites W2046166748 @default.
- W2893426469 cites W2062266804 @default.
- W2893426469 cites W2065232540 @default.
- W2893426469 cites W2068019963 @default.
- W2893426469 cites W2077037251 @default.
- W2893426469 cites W2086512227 @default.
- W2893426469 cites W2090231693 @default.
- W2893426469 cites W2111271983 @default.
- W2893426469 cites W2165076033 @default.
- W2893426469 cites W2192767319 @default.
- W2893426469 cites W2267852856 @default.
- W2893426469 cites W2295230376 @default.
- W2893426469 cites W2511264644 @default.
- W2893426469 cites W2535408367 @default.
- W2893426469 cites W2567477586 @default.
- W2893426469 cites W374959569 @default.
- W2893426469 doi "https://doi.org/10.1016/j.amc.2018.09.007" @default.
- W2893426469 hasPublicationYear "2019" @default.
- W2893426469 type Work @default.
- W2893426469 sameAs 2893426469 @default.
- W2893426469 citedByCount "10" @default.
- W2893426469 countsByYear W28934264692019 @default.
- W2893426469 countsByYear W28934264692020 @default.
- W2893426469 countsByYear W28934264692021 @default.
- W2893426469 countsByYear W28934264692023 @default.
- W2893426469 crossrefType "journal-article" @default.
- W2893426469 hasAuthorship W2893426469A5028426177 @default.
- W2893426469 hasAuthorship W2893426469A5037374495 @default.
- W2893426469 hasConcept C104317684 @default.
- W2893426469 hasConcept C112972136 @default.
- W2893426469 hasConcept C119857082 @default.
- W2893426469 hasConcept C129844170 @default.
- W2893426469 hasConcept C134306372 @default.
- W2893426469 hasConcept C154249771 @default.
- W2893426469 hasConcept C158448853 @default.
- W2893426469 hasConcept C162324750 @default.
- W2893426469 hasConcept C164660894 @default.
- W2893426469 hasConcept C17020691 @default.
- W2893426469 hasConcept C176321772 @default.
- W2893426469 hasConcept C17685861 @default.
- W2893426469 hasConcept C17744445 @default.
- W2893426469 hasConcept C181330731 @default.
- W2893426469 hasConcept C182365436 @default.
- W2893426469 hasConcept C185592680 @default.
- W2893426469 hasConcept C191795146 @default.
- W2893426469 hasConcept C199539241 @default.
- W2893426469 hasConcept C205951836 @default.
- W2893426469 hasConcept C2524010 @default.
- W2893426469 hasConcept C2777303404 @default.
- W2893426469 hasConcept C2780829570 @default.
- W2893426469 hasConcept C28826006 @default.
- W2893426469 hasConcept C33923547 @default.
- W2893426469 hasConcept C39177556 @default.
- W2893426469 hasConcept C41008148 @default.
- W2893426469 hasConcept C48753275 @default.
- W2893426469 hasConcept C50522688 @default.
- W2893426469 hasConcept C55493867 @default.
- W2893426469 hasConcept C73000952 @default.
- W2893426469 hasConcept C78045399 @default.
- W2893426469 hasConcept C86339819 @default.
- W2893426469 hasConceptScore W2893426469C104317684 @default.
- W2893426469 hasConceptScore W2893426469C112972136 @default.
- W2893426469 hasConceptScore W2893426469C119857082 @default.
- W2893426469 hasConceptScore W2893426469C129844170 @default.
- W2893426469 hasConceptScore W2893426469C134306372 @default.
- W2893426469 hasConceptScore W2893426469C154249771 @default.
- W2893426469 hasConceptScore W2893426469C158448853 @default.
- W2893426469 hasConceptScore W2893426469C162324750 @default.
- W2893426469 hasConceptScore W2893426469C164660894 @default.
- W2893426469 hasConceptScore W2893426469C17020691 @default.
- W2893426469 hasConceptScore W2893426469C176321772 @default.
- W2893426469 hasConceptScore W2893426469C17685861 @default.
- W2893426469 hasConceptScore W2893426469C17744445 @default.
- W2893426469 hasConceptScore W2893426469C181330731 @default.
- W2893426469 hasConceptScore W2893426469C182365436 @default.
- W2893426469 hasConceptScore W2893426469C185592680 @default.
- W2893426469 hasConceptScore W2893426469C191795146 @default.
- W2893426469 hasConceptScore W2893426469C199539241 @default.
- W2893426469 hasConceptScore W2893426469C205951836 @default.
- W2893426469 hasConceptScore W2893426469C2524010 @default.
- W2893426469 hasConceptScore W2893426469C2777303404 @default.
- W2893426469 hasConceptScore W2893426469C2780829570 @default.
- W2893426469 hasConceptScore W2893426469C28826006 @default.
- W2893426469 hasConceptScore W2893426469C33923547 @default.