A high-order compact boundary value method for solving one-dimensional heat equations
โ Scribed by Haiwei Sun; Jun Zhang
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 108 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0749-159X
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## Abstract A numerical method for solving twoโpoint boundary value problems associated with systems of firstโorder nonlinear ordinary differential equations is described. It needs three function evaluations for each subโinterval and is of order O(__h__^7^), where __h__ is the space chop. Results o
Our work is an extension of the previously proposed multivariant element. We assign this reยฎned element as a compact mixed-order element in the sense that use of this element offers a much smaller bandwidth. The analysis is implemented on quadratic hexahedral elements with a view to analysing a thre