SOLVING A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS WITH SINC-COLLOCATION METHOD BASED ON DOUBLE EXPONENTIAL TRANSFORMATION

作者：Rashidinia J^*; Nabati M; Parsa A

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2014, 76(4): 13-26.

• Sinc-collocation
• singular nonlinear boundary value problem
• single and double exponential transformation

Sinc-collocation method based on double exponential transformation for solving nonlinear second order two-point boundary value problems has been developed with nonhomogeneous boundary conditions. Also we developed Sinc method based on single exponential transformations. These methods are tested on several problems. T he obtained results from Sinc collocation based on single and double exponential transformations are compared with each other, and with the existing methods too. The numerical result confirm that these methods are considerably efficient and accurate, and can be applied to singular and regular problems.

• 出版日期2014