A Numerical Approach Based on Subdivision Schemes for Solving Non-Linear Fourth Order Boundary Value Problems

作者：Mustafa Ghulam; Abbas Muhammad^*; Ejaz Syeda Tehmina; Ismail Ahmad Izani Md; Khan Faheem

来源：Journal of Computational Analysis and Applications, 2017, 23(4): 607-623.

• Boundary value problem
• Subdivision schemes
• Collocation algorithm
• Approximation
• interpolation

This paper presents an iterative collocation numerical approach based on interpolating subdivision schemes for the solution of non-linear fourth order boundary value problems involving ordinary differential equations. Numerical evidence suggests that the scheme converges to a smooth approximate solution of non-linear fourth order boundary value problem. The convergence of the approach is also discussed. Main purpose of this article is to explore and seek the applications of subdivision schemes in the field of physics and engineering.

• 出版日期2017-10-15