A faster iterative method for solving nonlinear third-order BVPs based on Green's function
DOI10.1186/s13661-022-01686-yzbMath1529.47127OpenAlexW4312190541MaRDI QIDQ6099732
Godwin Amechi Okeke, Austine Efut Ofem, Huseyin Isik
Publication date: 20 June 2023
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-022-01686-y
strong convergencefixed pointdelay nonlinear Volterra integrodifferential equationGA iterative methodgeneralised \(\alpha\)-nonexpansive mappingsnonlinear third-order BVPs
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Volterra integral equations (45D05) Fixed-point iterations (47J26)
Cites Work
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- Bratu's problem: a novel approach using fixed-point iterations and Green's functions
- Fixed point theorem for \(\alpha \)-nonexpansive mappings in Banach spaces
- The solution of a class of third-order boundary value problems by the reproducing kernel method
- Data dependence for Ishikawa iteration when dealing with contractive-like operators
- The numerical solution of third-order boundary-value problems using quintic splines
- New approximation schemes for general variational inequalities
- A novel Ishikawa-Green's fixed point scheme for the solution of BVPs
- A new fixed point algorithm for finding the solution of a delay differential equation
- Ulam stabilities for nonlinear Volterra delay integro-differential equations
- Some observations on generalized non-expansive mappings with an application
- Convergence analysis of the Picard-Ishikawa hybrid iterative process with applications
- A solution of delay differential equations via Picard-Krasnoselskii hybrid iterative process
- A Picard-Mann hybrid iterative process
- Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
- Approximating Fixed Points of Generalized α-Nonexpansive Mappings in Banach Spaces
- Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Approximating Fixed Points of Nonexpansive Mappings
- The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions
- A numerical method for third-order non-linear boundary-value problems in engineering
- Fixed Points by a New Iteration Method
- Some convergence results of M iterative process in Banach spaces
- Numerical solution of functional differential equations: a Green's function-based iterative approach
- A new fixed point iteration method for nonlinear third-order BVPs
- A new iteration scheme for approximating fixed points of nonexpansive mappings
- Zum Prinzip der kontraktiven Abbildung
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- Mean Value Methods in Iteration
- A NEW ITERATIVE METHOD FOR SOLVING SPLIT FEASIBILITY PROBLEM
- A novel iterative scheme for solving delay differential equations and nonlinear integral equations in Banach spaces
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