The Bellman–Kalaba–Lakshmikantham Quasilinearization Method for Neumann Problems
Copyright policy )The Bellman–Kalaba–Lakshmikantham Quasilinearization Method for Neumann Problems
A generalized quasilinearization method (in the sense of Bellman-Kalaba-Laksmikantham) for a nonlinear ordinary differential equation with homogeneous Neumann boundary condition is developed. As usual, it provides a monotone sequence converging to a solution. Moreover, this convergence is quadratic.
- King Abdulaziz University Saudi Arabia
- University of Santiago de Compostela Spain
- Quaid-i-Azam University Pakistan
- King Abdul Aziz University Hospital Saudi Arabia
Nonlinear boundary value problems for ordinary differential equations, quasilinearization method, quasilinearization, Applied Mathematics, existence, Neumann problem, Positive solutions to nonlinear boundary value problems for ordinary differential equations, quadratic convergence, Iterative procedures involving nonlinear operators, nonlinear Neumann problem, Monotone operators and generalizations, Analysis
Nonlinear boundary value problems for ordinary differential equations, quasilinearization method, quasilinearization, Applied Mathematics, existence, Neumann problem, Positive solutions to nonlinear boundary value problems for ordinary differential equations, quadratic convergence, Iterative procedures involving nonlinear operators, nonlinear Neumann problem, Monotone operators and generalizations, Analysis
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