AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Ediţia nr.1 din 2018 | |||||||
Articol: |
QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER SINGULAR PERTURBATION BOUNDARY VALUE PROBLEMS. Autori: RAM KISHUN LODHI, HRADYESH KUMAR MISHRA. |
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Rezumat: In this communication, we have studied an efficient numerical approach based on uniform mesh for the numerical solutions of fourth order singular perturbation boundary value problems. Such type of problems arises in various elds of science and engineering, like electrical network and vibration problems with large Peclet numbers, Navier-Stokes ows with large Reynolds numbers in the theory of hydrodynamics stability, reaction diffusion process, quantum mechanics and optimal control theory etc. In the present study, a quintic B-spline method has been discussed for the approximate solution of the fourth order singular perturbation boundary value problems. The convergence analysis is also carried out and the method is shown to have convergence of second order. The performance of present method is shown through some numerical tests. The numerical results are compared with other existing method available in the literature. Mathematics Subject Classification (2010): 65L10. Keywords: Fourth order singular perturbation boundary value problem, quintic B-spline, quasilinearization, uniform mesh, convergence analysis. |
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