https://consortiumpublisher.org/index.php/aca/issue/feed Advanced Calculation and Analysis 2021-06-18T17:54:55+00:00 Support Manager support@consortiumpublisher.ca Open Journal Systems <p align="justify"><span style="font-size: 9pt;">Advanced Calculation and Analysis (ISSN: 2520-596X) an online and annually published journal started in 2016. This is progressively growing journal with good indexing. Calculation is a deliberate process that transforms the inputs into final results with variable changes. The arithmetical calculation of algorithm is used to sort the vague heuristics. Whereas, the various analytical approaches adopted in scientific methods to break the complex data or substance into small parts to obtain the better understanding of results.</span></p> https://consortiumpublisher.org/index.php/aca/article/view/696 A HIGHER-ORDER NONSTANDARD FINITE ELEMENT METHOD FOR ONE-DIMENSIONAL ELLIPTIC PROBLEMS 2021-06-18T17:54:55+00:00 Zhilin Li zhilin@math.ncsu.edu A third-order nonstandard finite element method is proposed for one-dimensional elliptic problems. A new local finite element approximation is constructed on every element using local linear basis functions with a correction term, which is exact for quadratic functions. Combining this local finite element approximation and Choosing linear finite element space as a test space, a new finite element method is developed. Numerical experiments show that this nonstandard finite element method have three order accuracy while the degree of freedom is the same as the traditional linear finite element method. 2021-05-23T00:00:00+00:00 Copyright (c) 2021 Advanced Calculation and Analysis