Taylor's Decomposition on two points for one-dimensional Bratu problem

DOI10.1002/num.20443zbMath1191.65105OpenAlexW2033639164MaRDI QIDQ5187892

Meltem Evrenosoglu Adiyaman, Sennur Somali

Publication date: 9 March 2010

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20443

zbMATH Keywords

numerical examplesnonlinear eigenvalue problemsnonlinear initial value problemone-dimensional nonlinear Bratu problemTaylor's decomposition method on two points

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Nonlinear ordinary differential operators (34L30) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (7)

High order approach for solving chaotic and hyperchaotic problems ⋮ Iterative differential quadrature solutions for Bratu problem ⋮ A new approach for linear eigenvalue problems and nonlinear Euler buckling problem ⋮ Unnamed Item ⋮ The Taylor wavelets method for solving the initial and boundary value problems of Bratu-type equations ⋮ Reproducing kernel Hilbert space method for solving Bratu's problem ⋮ Bio-inspired computing platform for reliable solution of Bratu-type equations arising in the modeling of electrically conducting solids

Cites Work

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• The Liouville-Bratu-Gelfand problem for radial operators
• An efficient algorithm for the determination of certain bifurcation points
• Adomian decomposition method for a reliable treatment of the Bratu-type equations
• Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem
• Investigations of nonstandard, Mickens-type, finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates

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