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Lidstone–Euler Second-Type Boundary Value Problems: Theoretical and Computational Tools
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2021-07-12 , DOI: 10.1007/s00009-021-01822-5 Francesco Aldo Costabile 1 , Maria Italia Gualtieri 1 , Anna Napoli 1
中文翻译:
Lidstone-Euler 第二类边界值问题:理论和计算工具
更新日期:2021-07-12
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2021-07-12 , DOI: 10.1007/s00009-021-01822-5 Francesco Aldo Costabile 1 , Maria Italia Gualtieri 1 , Anna Napoli 1
Affiliation
General nonlinear high odd-order differential equations with Lidstone–Euler boundary conditions of second type are treated both theoretically and computationally. First, the associated interpolation problem is considered. Then, a theorem of existence and uniqueness of the solution to the Lidstone–Euler second-type boundary value problem is given. Finally, for a numerical solution, two different approaches are illustrated and some numerical examples are included to demonstrate the validity and applicability of the proposed algorithms.
中文翻译:
Lidstone-Euler 第二类边界值问题:理论和计算工具
具有第二类 Lidstone-Euler 边界条件的一般非线性高奇数阶微分方程在理论上和计算上都得到了处理。首先,考虑相关的插值问题。然后,给出了Lidstone-Euler第二类边值问题解的存在唯一性定理。最后,对于数值解,说明了两种不同的方法,并包括一些数值例子来证明所提出算法的有效性和适用性。