A fourth-order B-spline collocation method and its error analysis for Bratu-type and Lane–Emden problems
DOI10.1080/00207160.2017.1417592zbMath1499.65329OpenAlexW2771809799MaRDI QIDQ5031796
Publication date: 16 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2017.1417592
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)
Related Items (24)
Cites Work
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- An effective computational technique for a class of Lane-Emden equations
- An algorithm based on the variational iteration technique for the Bratu-type and the Lane-Emden problems
- An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
- Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type
- A practical guide to splines
- A new approach to Bratu's problem
- The variational iteration method for solving the Volterra integro-differential forms of the Lane-Emden equations of the first and the second kind
- Adomian decomposition method for a reliable treatment of the Bratu-type equations
- An analytic approach to solve multiple solutions of a strongly nonlinear problem
- Four techniques based on the B-spline expansion and the collocation approach for the numerical solution of the Lane-Emden equation
- A numerical approach for solving a class of the nonlinear Lane-Emden type equations arising in astrophysics
- Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem
- Error Bounds for Interpolating Cubic Splines Under Various End Conditions
- Collocation method for the numerical solutions of Lane–Emden type equations using cubic Hermite spline functions
- Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives
- B-spline method for solving Bratu's problem
- A new algorithm for solving differential equations of Lane-Emden type
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