ScholarLens Back to search
2012•Unpublished venueOpen access

Generalized Quasilinearization Method and Cubical Convergence for Mixed Boundary Value Problems

Ramzi Alsaedi

Open full text 0 citations

Abstract

Abstract: The generalized quasilinearization method for a non-linear second-order ordinary differential equation with mixed boundary conditions has been studied when the forcing function is the sum of two functions without require that any of the two functions involved to be 2-hyperconvex or 2-hyperconcave. Two sequences are developed under suitable conditions which converge to the unique solution of the boundary value problem. Furthermore, the convergence obtain here is of order 3.

About this research paper

What this paper is about

Abstract: The generalized quasilinearization method for a non-linear second-order ordinary differential equation with mixed boundary conditions has been studied when the forcing function is the sum of two functions without require that any of the two functions involved to be 2-hyperconvex or 2-hyperconcave. Two sequences are developed under suitable conditions which converge to the unique solution of the boundary value problem. Furthermore, the convergence obtain here is of order 3.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract: The generalized quasilinearization method for a non-linear second-order ordinary differential equation with mixed boundary conditions has been studied when the forcing function is the sum of two functions without require that any of the two functions involved to be 2-hyperconvex or 2-hyperconcave. Two sequences are developed under suitable conditions which converge to the unique solution of the boundary value problem. Furthermore, the convergence obtain here is of order 3.

Key concepts: Mathematics, Boundary value problem, Ordinary differential equation, Convergence (economics), Mathematical analysis, Function (biology), Forcing (mathematics), Rate of convergence

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Generalized Quasilinearization Method and Cubical Convergence for Mixed Boundary Value Problems — Research Paper | ScholarLens