A novel Ishikawa-Green's fixed point scheme for the solution of BVPs

DOI10.1016/j.aml.2018.02.016zbMath1404.65304OpenAlexW2790814343WikidataQ130156886 ScholiaQ130156886MaRDI QIDQ1642081

Issam Louhichi, Khuri, Suheil A.

Publication date: 20 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.02.016

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fixed-point theorems (47H10) Numerical solutions to equations with linear operators (65J10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (13)

Numerical solution of a generalized Falkner–Skan flow of a FENE-P fluid ⋮ A new fixed point iteration method for nonlinear third-order BVPs ⋮ Solution of nonlinear boundary value problem by S-iteration ⋮ Approximation theorems of a solution of amperometric enzymatic reactions based on Green's fixed point normal-\(S\) iteration ⋮ A Green's function iterative approach for the solution of a class of fractional BVPs arising in physical models ⋮ A faster iterative method for solving nonlinear third-order BVPs based on Green's function ⋮ A numerical investigation of the buckling of doubly clamped nano-actuators governed by an integro-differential equation ⋮ Unnamed Item ⋮ Solution of a Class of Nonlocal Elliptic BVPs Arising in Fluid Flow: An Iterative Approach ⋮ A novel approach for the solution of BVPs via Green's function and fixed point iterative method ⋮ A new iteration method for the solution of third-order BVP via Green's function ⋮ Non-isothermal reaction-diffusion model equations in a spherical biocatalyst: Green's function and fixed point iteration approach ⋮ A fixed point iteration method using Green's functions for the solution of nonlinear boundary value problems over semi-Infinite intervals

Cites Work

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• Variational iteration method: Green's functions and fixed point iterations perspective
• Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
• Theoretical Numerical Analysis
• Existence of solutions to boundary value problems for second order differential equations
• Fixed Point Iterations Using Infinite Matrices
• A new iteration scheme for approximating fixed points of nonexpansive mappings

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