A novel approach for the solution of BVPs via Green's function and fixed point iterative method
DOI10.1007/s12190-020-01431-7OpenAlexW3083324006MaRDI QIDQ2053209
Izhar Uddin, Javid Ali, Faeem Ali
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-020-01431-7
rate of convergencefixed pointGreen's functionintegral operatoriterative methodsboundary value problem
Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Fixed-point iterations (47J26)
Related Items (5)
Cites Work
- Bratu's problem: a novel approach using fixed-point iterations and Green's functions
- Generalizing the variational iteration method for BVPs: proper setting of the correction functional
- A novel Ishikawa-Green's fixed point scheme for the solution of BVPs
- An introduction to nonlinear boundary value problems
- Some observations on generalized non-expansive mappings with an application
- Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator
- Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense
- Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations
- Variational iteration method: Green's functions and fixed point iterations perspective
- Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
- A Picard-Mann hybrid iterative process
- Existence of solutions to boundary value problems for second order differential equations
- Fixed Points by a New Iteration Method
- Numerical solution of functional differential equations: a Green's function-based iterative approach
- Mean Value Methods in Iteration
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A novel approach for the solution of BVPs via Green's function and fixed point iterative method