A New Collocation Scheme Using Non-polynomial Basis Functions

• المؤلفون الرئيسيون: Zhang, Chao, Liu, Wenjie, Wang, Li-Lian
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2017
• الموضوعات: Generalised Birkhoff Interpolation Problem; Non-polynomial Basis
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/85589; http://hdl.handle.net/10220/43728
• المؤسسة: Nanyang Technological University

In this paper, we construct a set of non-polynomial basis functions from a generalised Birkhoff interpolation problem involving the operator: Lλ=d2/dx2−λ2Lλ=d2/dx2−λ2 with constant λ.λ. With a direct inverting the operator, the basis can be pre-computed in a fast and stable manner. This leads to...