A new Fibonacci type collocation procedure for boundary value problems
DOI10.1186/1687-1847-2013-262zbMath1378.65153OpenAlexW2152924275WikidataQ59299253 ScholiaQ59299253MaRDI QIDQ1682135
Kemal Uslu, Aydın Kurnaz, Musa Çakmak, Ayşe Betül Koç
Publication date: 28 November 2017
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2013-262
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear boundary value problems for ordinary differential equations (34B05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Related Items (11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals
- Sinc-collocation method for solving the Blasius equation
- On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations
- A collocation method using Hermite polynomials for approximate solution of pantograph equations
- The numerical solution of second-order boundary-value problems by collocation method with the Haar wavelets
- Laguerre polynomial approach for solving linear delay difference equations
- On \(k\)-Fibonacci sequences and polynomials and their derivatives
- Ordinary and partial differential equations. With special functions, Fourier series, and boundary value problems
- Shifted Chebyshev collocation domain truncation for solving problems on an infinite interval
- Chebyshev polynomial solutions of systems of linear integral equations.
- Numerical solution of singular boundary value problems via Chebyshev polynomial and B-spline
- Green's functions and comparison results for impulsive integrodifferential equations.
- The \(k\)-Fibonacci sequence and the Pascal 2-triangle
- The special functions and their approximations. Vol. I, II
- Approximate solution of periodic Sturm-Liouville problems with Chebyshev collocation method
- Solution of magnetohydrodynamic flow in a rectangular duct by Chebyshev collocation method
- Rational Chebyshev collocation method for solving higher-order linear ordinary differential equations
- The solution of a second-order nonlinear differential equation with Neumann boundary conditions using semi-orthogonal B-spline wavelets
- Spline collocation method for solving linear sixth-order boundary-value problems
- Solving high-order linear differential equations by a Legendre matrix method based on hybrid Legendre and Taylor polynomials
- A B‐spline algorithm for the numerical solution of Fisher's equation
- Chebyshev rational spectral and pseudospectral methods on a semi‐infinite interval
- Chebyshev polynomial solutions of linear differential equations
- Chebyshev series solutions of Fredholm integral equations
- Polynomial solutions of certain differential equations
- A Practical Guide to Pseudospectral Methods
- A chebyshev collocation method for the solution of linear integro-differential equations
- Taylor polynomial solutions of systems of linear differential equations with variable coefficients
- Spectral Methods
- Trigonometric Interpolation of Empirical and Analytical Functions
- Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
This page was built for publication: A new Fibonacci type collocation procedure for boundary value problems