A novel approach for the solution of BVPs via Green's function and fixed point iterative method
type: Item
instance of: scholarly article
title: A novel approach for the solution of BVPs via Green's function and fixed point iterative method
author: Faeem Ali
author: Javid Ali
author: Izhar Uddin
published in: Journal of Applied Mathematics and Computing
publication date: 2021-11-29T00:00:00Z
Mathematics Subject Classification ID: 47J26
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7435209
zbMATH Keywords: iterative methods
zbMATH Keywords: Green's function
zbMATH Keywords: fixed point
zbMATH Keywords: integral operator
zbMATH Keywords: boundary value problem
zbMATH Keywords: rate of convergence
MaRDI profile type: Publication
full work available at URL: s12190-020-01431-7
OpenAlex ID: W3083324006
cites work: Mean Value Methods in Iteration
cites work: Fixed Points by a New Iteration Method
cites work: Q3442332
cites work: Q3086049
cites work: A Picard-Mann hybrid iterative process
cites work: Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
cites work: Q5446352
cites work: Q4978178
cites work: Variational iteration method: Green's functions and fixed point iterations perspective
cites work: Generalizing the variational iteration method for BVPs: proper setting of the correction functional
cites work: Numerical solution of functional differential equations: a Green's function-based iterative approach
cites work: Bratu's problem: a novel approach using fixed-point iterations and Green's functions
cites work: A novel Ishikawa-Green's fixed point scheme for the solution of BVPs
cites work: Some observations on generalized non-expansive mappings with an application
cites work: Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator
cites work: Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations
cites work: Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense
cites work: An introduction to nonlinear boundary value problems
cites work: Q4147008
cites work: Existence of solutions to boundary value problems for second order differential equations
DOI: 10.1007/S12190-020-01431-7
description: scientific article; zbMATH DE number 7435209