000130787 001__ 130787
000130787 005__ 20240131210811.0
000130787 0247_ $$2doi$$a10.1007/s10543-019-00777-0
000130787 0248_ $$2sideral$$a118663
000130787 037__ $$aART-2020-118663
000130787 041__ $$aeng
000130787 100__ $$0(orcid)0000-0003-2538-9027$$aGracia, José Luis$$uUniversidad de Zaragoza
000130787 245__ $$aConvergence analysis of a finite difference scheme for a two-point boundary value problem with a Riemann–Liouville–Caputo fractional derivative
000130787 260__ $$c2020
000130787 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130787 5203_ $$aThe Riemann–Liouville–Caputo (RLC) derivative is a new class of derivative that is motivated by modelling considerations; it lies between the more familiar Riemann–Liouville and Caputo derivatives. The present paper studies a two-point boundary value problem on the interval [0, L] whose highest-order derivative is an RLC derivative of order a¿ (1 , 2). It is shown that the choice of boundary condition at x= 0 strongly influences the regularity of the solution. For the case where the solution lies in C1[0 , L] n Cq + 1(0 , L] for some positive integer q, a finite difference scheme is used to solve the problem numerically on a uniform mesh. In the error analysis of the scheme, the weakly singular behaviour of the solution at x= 0 is taken into account and it is shown that the method is almost first-order convergent. Numerical results are presented to illustrate the performance of the method.
000130787 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/MCYT-FEDER/MTM2016-75139-R$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2016-75139-R
000130787 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000130787 590__ $$a1.663$$b2020
000130787 591__ $$aMATHEMATICS, APPLIED$$b102 / 265 = 0.385$$c2020$$dQ2$$eT2
000130787 591__ $$aCOMPUTER SCIENCE, SOFTWARE ENGINEERING$$b64 / 108 = 0.593$$c2020$$dQ3$$eT2
000130787 592__ $$a0.904$$b2020
000130787 593__ $$aApplied Mathematics$$c2020$$dQ1
000130787 593__ $$aSoftware$$c2020$$dQ1
000130787 593__ $$aComputer Networks and Communications$$c2020$$dQ1
000130787 593__ $$aComputational Mathematics$$c2020$$dQ1
000130787 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000130787 700__ $$aO’Riordan, Eugene
000130787 700__ $$aStynes, Martin
000130787 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000130787 773__ $$g60, 2 (2020), 411-439$$pBIT$$tBIT Numerical Mathematics$$x0006-3835
000130787 8564_ $$s271806$$uhttps://zaguan.unizar.es/record/130787/files/texto_completo.pdf$$yPostprint
000130787 8564_ $$s1342859$$uhttps://zaguan.unizar.es/record/130787/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000130787 909CO $$ooai:zaguan.unizar.es:130787$$particulos$$pdriver
000130787 951__ $$a2024-01-31-19:21:05
000130787 980__ $$aARTICLE