RKM for solving Bratu-type differential equations of fractional order (Q2804401)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: RKM for solving Bratu-type differential equations of fractional order |
scientific article; zbMATH DE number 6575335
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | RKM for solving Bratu-type differential equations of fractional order |
scientific article; zbMATH DE number 6575335 |
Statements
RKM for solving Bratu-type differential equations of fractional order (English)
0 references
29 April 2016
0 references
reproducing kernel Hilbert space method
0 references
Bratu's problem
0 references
fractional differential equation
0 references
convergence
0 references
nonlinear eigenvalue problem
0 references
numerical example
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.8698202
0 references
0.86778677
0 references
0.8670706
0 references
0.8554204
0 references
0.8531679
0 references
0.8507564
0 references
0.8501406
0 references
0.8499341
0 references
The authors investigate fractional differential equations of Bratu type. These problems are solved using a reproducing kernel method (RKM). The exact solution is represented as a convergent series in the reproducing kernel Hilbert space. Then the corresponding fixed-point problem is solved by direct iteration in this space. Finally, some numerical examples are presented.
0 references
