Lidstone-Euler interpolation and related high even order boundary value problem
DOI10.1007/s10092-021-00411-yzbMath1482.34065OpenAlexW3162489958MaRDI QIDQ2044087
Anna Napoli, Maria Italia Gualtieri, Francesco Aldo Costabile
Publication date: 4 August 2021
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-021-00411-y
interpolationBernstein polynomialsboundary value problemextrapolationEuler polynomialsLidstone polynomials
Bernoulli and Euler numbers and polynomials (11B68) Nonlinear boundary value problems for ordinary differential equations (34B15) Approximation by polynomials (41A10) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Collocation for high order differential equations with two-points Hermite boundary conditions
- A class of collocation methods for numerical integration of initial value problems
- Iterative solutions for a beam equation with nonlinear boundary conditions of third order
- Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem
- Solutions of two-point boundary value problems for even-order differential equations
- An efficient method for fourth-order boundary value problems
- Complementary Lidstone interpolation and boundary value problems
- Numerical solution of fourth-order problems with separated boundary conditions
- Estimates of positive solutions to a boundary value problem for the beam equation
- A review of the decomposition method in applied mathematics
- Solving frontier problems of physics: the decomposition method
- Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems
- Multiple solutions for \(2m\text{th}\)-order Sturm-Liouville boundary value problems
- Approximate solutions to boundary value problems of higher order by the modified decomposition method
- Positive solutions of \(2m\)th-order boundary value problems
- A new collocation algorithm for solving even-order boundary value problems via a novel matrix method
- Odd and even Lidstone-type polynomial sequences. I: Basic topics
- The solution of fourth order boundary value problem arising out of the beam-column theory using Adomian decomposition method
- Some results on generalized Szász operators involving Sheffer polynomials
- Collocation for high-order differential equations with Lidstone boundary conditions
- Lidstone polynomials and boundary value problems
- A unified approach for solving linear and nonlinear odd-order two-point boundary value problems
- Odd and even Lidstone-type polynomial sequences. II: Applications
- On a fourth-order boundary value problem at resonance
- A class of Birkhoff-Lagrange-collocation methods for high order boundary value problems
- Solutions of boundary value problems for \(2n\)-order differential equations
- Asymptotic expansion and extrapolation for Bernstein polynomials with applications
- Modern umbral calculus. An elementary introduction with applications to linear interpolation and operator approximation theory
- A special class of polynomials related to non-classic general interpolatory problems
- Special even polynomials and related interpolatory problems
- Practical Extrapolation Methods
- Numerical Solution of Eighth-order Boundary Value Problems by Using Legendre Polynomials
- Lower and upper solutions method for a problem of an elastic beam whose one end is simply supported and the other end is sliding clamped
- On Lidstone's Series and Two-Point Expansions of Analytic Functions
- The Splitting Extrapolation Method
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
- Modified Abel Expansion and a Subclass of Completely Convex Functions
This page was built for publication: Lidstone-Euler interpolation and related high even order boundary value problem
