A method of solving a nonlinear boundary value problem for the Fredholm integro-differential equation
From MaRDI portal
Publication:2039772
DOI10.1216/jie.2021.33.53zbMath1475.65220OpenAlexW3172696095MaRDI QIDQ2039772
Sandugash Mynbayeva, Dulat S. Dzhumabaev
Publication date: 5 July 2021
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jie.2021.33.53
algorithmiterative processFredholm integro-differential equationinitial guess solutionnonlinear differential partspecial Cauchy problem
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Integro-differential operators (47G20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Necessary and sufficient conditions for the solvability of linear boundary-value problems for the Fredholm integrodifferential equations
- Parallel implementation of block boundary value methods for ODEs
- On one approach to solve the linear boundary value problems for Fredholm integro-differential equations
- Convergence of iterative methods for unbounded operator equations
- A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
- Numerical methods for ordinary differential equations in the 20th century
- New general solutions to linear Fredholm integro-differential equations and their applications on solving the boundary value problems
- A method for solving the linear boundary value problem for an integro-differential equation
- Newton Methods for Nonlinear Problems
- Criteria for the unique solvability of a linear boundary-value problem for an ordinary differential equation
- On the convergence of a modification of the Newton–Kantorovich method for closed operator equations
- A parametrization method for solving nonlinear two-point boundary value problems