Solving higher-order nonlocal boundary value problems with high precision by the fixed quasi Newton methods

• Published in: Mathematics and computers in simulation Vol. 232; pp. 211 - 226
• Main Authors: Liu, Chein-Shan, Chen, Yung-Wei, Shen, Jian-Hung, Chang, Yen-Shen
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.06.2025
• Subjects: Computed order of convergence; Fixed quasi-Newton method; Nonlocal and nonlinear boundary value problems; Shooting technique; Fixed quasi-Newton method; Computed order of convergence; Shooting technique; Nonlocal and nonlinear boundary value problems

The paper presents a numerical solution of a higher-order nonlocal and nonlinear boundary value problem (NNBVP); it exhibits triple nonlinearities: nonlinear ordinary differential equation (ODE), nonlinear local boundary values and nonlinear integral boundary conditions (BCs). We consider one nonloc...