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Numerical algorithm for nonlinear fractional equations with nonlocal boundary conditions based on a modified minimum residual method.
- Source :
- International Journal of Nonlinear Sciences & Numerical Simulation; Nov2023, Vol. 24 Issue 7, p2693-2713, 21p
- Publication Year :
- 2023
-
Abstract
- In this paper, we will solve a nonlinear time-fractional equation with nonlocal boundary conditions. First, we construct a set of suitable base according to the correlation theory of reproducing kernel space and the nonlocal boundary conditions. Then we introduce F-derivative and Newton iterative to linearize the nonlinear terms of the equation. The appropriate initial iteration value is constructed by boundary conditions. Finally, we use the ɛ-approximate solution theory to solve the system of linear equations and give the corresponding theoretical derivation. In conclusion, several numerical examples illustrate the feasibility and effectiveness of the method. [ABSTRACT FROM AUTHOR]
- Subjects :
- NONLINEAR equations
SYSTEMS theory
LINEAR systems
ALGORITHMS
NEWTON-Raphson method
Subjects
Details
- Language :
- English
- ISSN :
- 15651339
- Volume :
- 24
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- International Journal of Nonlinear Sciences & Numerical Simulation
- Publication Type :
- Academic Journal
- Accession number :
- 173777487
- Full Text :
- https://doi.org/10.1515/ijnsns-2021-0230