A new iteration method for the solution of third-order BVP via Green's function
Abstract: In this study, a new iterative method for third-order boundary value problems based on embedding Green’s function is introduced. The existence and uniqueness theorems are established, and necessary conditions are derived for convergence. The accuracy, efficiency and applicability of the results are demonstrated by comparing with the exact results and existing methods. The results of this paper extend and generalize the corresponding results in the literature.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
A new iteration method for the solution of third-order BVP via Green's function ; volume:54 ; number:1 ; year:2021 ; pages:425-435 ; extent:11
Demonstratio mathematica ; 54, Heft 1 (2021), 425-435 (gesamt 11)
- Creator
-
Akgun, Fatma Aydın
Rasulov, Zaur
- DOI
-
10.1515/dema-2021-0031
- URN
-
urn:nbn:de:101:1-2411181524318.539836860314
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
09.09.0001, 5:38 AM CET
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Akgun, Fatma Aydın
- Rasulov, Zaur
Other Objects (12)
Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function
Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green’s function
Third-order nonlinearity in optical waveguides
Solving Second and Third-Order Approximations to DSGE Models: A Recursive Sylvester Equation Solution
Dynamics of some one-point third-order methods for the solution of nonlinear equations
A faster third-order masking of lookup tables
A memristor-based third-order oscillator: beyond oscillation
Third-order optical nonlinearities of glass-metal nanocomposites
Oscillation criteria for third-order delay differential equations
Iteration, iteration, iteration
Fourth-order recursion operators for third-order evolution equations
Solving third-order boundary value problems with quartic splines
Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function
Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green’s function
Third-order nonlinearity in optical waveguides
Solving Second and Third-Order Approximations to DSGE Models: A Recursive Sylvester Equation Solution
Dynamics of some one-point third-order methods for the solution of nonlinear equations
A faster third-order masking of lookup tables
A memristor-based third-order oscillator: beyond oscillation
Third-order optical nonlinearities of glass-metal nanocomposites
Oscillation criteria for third-order delay differential equations
Iteration, iteration, iteration
Fourth-order recursion operators for third-order evolution equations
Solving third-order boundary value problems with quartic splines
Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function
Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green’s function
Third-order nonlinearity in optical waveguides
Solving Second and Third-Order Approximations to DSGE Models: A Recursive Sylvester Equation Solution
Dynamics of some one-point third-order methods for the solution of nonlinear equations
A faster third-order masking of lookup tables
A memristor-based third-order oscillator: beyond oscillation
Third-order optical nonlinearities of glass-metal nanocomposites
Oscillation criteria for third-order delay differential equations
Iteration, iteration, iteration
Fourth-order recursion operators for third-order evolution equations