New numerical method for solving tenth order boundary value problems

DOI10.3390/math6110245zbMath1406.35089OpenAlexW2899864337WikidataQ128961912 ScholiaQ128961912MaRDI QIDQ1634713

Dumitru Baleanu, Ali Akgül, Mustafa Inc, Esra Karatas Akgül

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6110245

zbMATH Keywords

reproducing kernel functionsreproducing kernel Hilbert space methodtenth-order boundary value problems

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Boundary value problems in the complex plane (30E25) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (2)

Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems ⋮ Tenth order boundary value problem solution existence by fixed point theorem

Cites Work

• Unnamed Item
• Spline solutions of linear twelfth-order boundary-value problems
• Commutants and reflexivity of multiplication tuples on vector-valued reproducing kernel Hilbert spaces
• A new reproducing kernel Hilbert space method for solving nonlinear fourth-order boundary value problems
• A cubic spline method for the solution of a linear fourth-order two-point boundary value problem
• The use of quartic splines in the numerical solution of a fourth-order boundary value problem
• Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm
• Reproducing kernel method for singularly perturbed one-dimensional initial-boundary value problems with exponential initial layers
• A new reproducing kernel collocation method for nonlocal fractional boundary value problems with non-smooth solutions
• A local reproducing kernel method accompanied by some different edge improvement techniques: application to the Burgers' equation
• Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability
• The complex variable reproducing kernel particle method for bending problems of thin plates on elastic foundations
• Application of reproducing kernel Hilbert space method for solving a class of nonlinear integral equations
• Non-polynomial splines approach to the solution of sixth-order boundary-value problems
• An efficient method for fractional nonlinear differential equations by quasi-Newton's method and simplified reproducing kernel method
• Spline solutions of linear tenth-order boundary-value problems^∗
• A Collocation Method for Two-Point Boundary Value Problems
• Using reproducing kernel for solving a class of time-fractional telegraph equation with initial value conditions
• Theory of Reproducing Kernels

This page was built for publication: New numerical method for solving tenth order boundary value problems