کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
755686 | 1462624 | 2015 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Reprint of Variable-step finite difference schemes for the solution of Sturm–Liouville problems Reprint of Variable-step finite difference schemes for the solution of Sturm–Liouville problems](/preview/png/755686.png)
• We analyze the numerical solution of regular and singular Sturm–Liouville problems.
• The developed code uses variable stepsize high order finite difference schemes.
• Mesh is adapted according to a strategy of equidistribution of the error.
• Solutions are computed according to linear algebra tools.
• The software reaches high accuracy and computational efficiency.
We discuss the solution of regular and singular Sturm–Liouville problems by means of High Order Finite Difference Schemes. We describe a method to define a discrete problem and its numerical solution by means of linear algebra techniques. Different test problems are considered to emphasize the behavior of a code based on the proposed algorithm. The methods solve any regular or singular Sturm–Liouville problem, providing high accuracy and computational efficiency thanks to the powerful strategy of stepsize variation.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 21, Issues 1–3, April 2015, Pages 12–21