Taylor's Decomposition on two points for one-dimensional Bratu problem

✍ Scribed by Meltem Evrenosoglu Adiyaman; Sennur Somali

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 196 KB
• Volume: 26
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/num.20443

✦ Synopsis

The numerical scheme is based on the application of the Taylor's decomposition to the corresponding first order differential equation system. The technique is illustrated with different eigenvalues and the results show that the method converges rapidly and hence approximate the exact solution very accurately for relatively large step sizes.