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
|
|||||||
Rezumat articol ediţie STUDIA UNIVERSITATIS BABEŞ-BOLYAI În partea de jos este prezentat rezumatul articolului selectat. Pentru revenire la cuprinsul ediţiei din care face parte acest articol, se accesează linkul din titlu. Pentru vizualizarea tuturor articolelor din arhivă la care este autor/coautor unul din autorii de mai jos, se accesează linkul din numele autorului. |
|||||||
STUDIA MATHEMATICA - Ediţia nr.3 din 2020 | |||||||
Articol: |
A SMOOTH APPROXIMATION FOR NON-LINEAR SECOND ORDER BOUNDARY VALUE PROBLEMS USING COMPOSITE NON-POLYNOMIAL SPLINE FUNCTIONS. Autori: ANJU CHAURASIA, YOGESH GUPTA, PRAKASH C. SRIVASTAVA. |
||||||
Rezumat: DOI: 10.24193/subbmath.2020.3.11 Published Online: 2020-09-15 Published Print: 2020-09-15 pp. 453-470 VIEW PDF: FULL PDF ABSTRACT: A different amalgamation of non-polynomial splines is used to find the approximate solution of linear and non-linear second order boundary value problems.Cubic spline functions are assembled with exponential and trigonometric functions to develop the different orders of numerical schemes. Free parameter k of the non-polynomial part is also used to form a new scheme, which elevates the accuracy of the solution. Numerical illustrations are given to validate the applicability and feasibility of the present method and also depicted in the graphs. Key words: Cubic non-polynomial spline, second order boundary-value problems, numerical approximation, error Analysis, convergence analysis. |
|||||||