An optimal iterative algorithm for solving Bratu-type problems

DOI10.1007/s10910-018-0965-7zbMath1433.65097OpenAlexW2898418664MaRDI QIDQ2419177

Pradip Roul, Harshita Madduri

Publication date: 29 May 2019

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-018-0965-7

zbMATH Keywords

nonlinear integral equationvariational iteration methodoptimal homotopy analysis methodundetermined coefficientsBratu-type problems

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for differential-algebraic equations (65L80)

Related Items (8)

Poly-Genocchi polynomials and its applications ⋮ An effective approach based on smooth composite Chebyshev finite difference method and its applications to Bratu-type and higher order Lane-Emden problems ⋮ A sixth order optimal B-spline collocation method for solving Bratu's problem ⋮ A high‐order efficient technique and its convergence analysis for Bratu‐type and Lane‐Emden‐type problems ⋮ Chebyshev spectral method for solving a class of local and nonlocal elliptic boundary value problems ⋮ A Bessel collocation method for solving Bratu's problem ⋮ An iterative technique for solving a class of local and nonlocal elliptic boundary value problems ⋮ Numerical solution of Bratu's and related problems using a third derivative hybrid block method

Cites Work

• An algorithm based on the variational iteration technique for the Bratu-type and the Lane-Emden problems
• A new approach to Bratu's problem
• A high-order \(B\)-spline collocation method for solving nonlinear singular boundary value problems arising in engineering and applied science
• 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
• B-spline method for solving Bratu's problem
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