NON-POLYNOMIAL SPLINE FOR THE NUMERICAL SOLUTION OF PROBLEMS IN CALCULUS OF VARIATIONS
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJMAC-5-1_001
تاریخ نمایه سازی: 28 دی 1401
Abstract:
A Class of new methods based on a septic non-polynomial spline function for the numerical solution of problems in calculus of variations is presented. The local truncation errors and the methods of order ۲th, ۴th, ۶th, ۸th, ۱۰th, and ۱۲th, are obtained. The inverse of some band matrixes are obtained which are required in proving the convergence analysis of the presented method. Convergence analysis of these methods is discussed. Numerical results are given to illustrate the eciency of methods and compared with the methods in [۲۸-۳۲].
Keywords:
Two-point boundary value problem , Non-polynomial spline , Convergence analysis , Calculus of variation
Authors
Reza Jalilian
Department of Mathematics, Razi University Tagh Bostan, Kermanshah Iran, Islamic Republic of Department of Mathematics