On the maximal order of convergence of Green's function method for solving two-point boundary value problems with deviating argument
From MaRDI portal
Publication:6181166
DOI10.1007/s11075-023-01595-wMaRDI QIDQ6181166
Publication date: 22 January 2024
Published in: Numerical Algorithms (Search for Journal in Brave)
cubic splinesmaximal order of convergencePicard-Green's function methodtwo-point boundary value problems fro higher order differential equations with deviating argument
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Boundary value problems for functional-differential equations (34K10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines
- About a numerical method of successive interpolations for two-point boundary value problems with deviating argument
- Quasilinear iterative scheme for a fourth-order differential equation with retardation and anticipation
- A new collocation method for approximate solution of the pantograph functional differential equations with proportional delay
- A unified approach to study the existence and numerical solution of functional differential equation
- A new approach to numerical solution of fixed-point problems and its application to delay differential equations
- Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions
- A numerical method to boundary value problems for second order delay differential equations
- Non-linear two point boundary value problems
- On a boundary value problem for a differential equation with variant retarded argument
- Introduction to functional differential equations
- The numerical solution of third-order boundary-value problems using quintic splines
- Some remarks of the trapesoid rule in numerical integration
- A subdivision approach to the construction of approximate solutions of boundary-value problems with deviating arguments
- A novel fixed point iteration method for the solution of third order boundary value problems
- Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
- Numerical solution for third-order two-point boundary value problems with the barycentric rational interpolation collocation method
- Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem
- Analysis of the Euler and trapezoidal discretization methods for the numerical solution of nonlinear functional Volterra integral equations of Urysohn type
- A new iteration method for the solution of third-order BVP via Green's function
- Direct operatorial tau method for pantograph-type equations
- Solving delay differential equations by an accurate method with interpolation
- Variational iteration method: Green's functions and fixed point iterations perspective
- Existence and numerical method for nonlinear third-order boundary value problem in the reproducing kernel space
- Theory of Third-Order Differential Equations
- Treatment for third-order nonlinear differential equations based on the Adomian decomposition method
- NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS FOR SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS BY THE USE OF CUBIC SPLINES
- The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions
- Finite-difference methods for boundary-value problems of differential equations with deviating arguments
- Two Problems from Draining Flows Involving Third-Order Ordinary Differential Equations
- On a two-point boundary value problem for third-order linear functional differential equations. Part II
- Numerical solution of functional differential equations: a Green's function-based iterative approach
- A new fixed point iteration method for nonlinear third-order BVPs
- Cattmul-Rom spline approach and the order of convergence of Green’s functional method for functional differential equations
This page was built for publication: On the maximal order of convergence of Green's function method for solving two-point boundary value problems with deviating argument