The approximate solution of steady temperature distribution in a rod: Two-point boundary value problem with higher order nonlinearity

DOI10.1016/j.nonrwa.2009.02.029zbMath1194.34045OpenAlexW2038241764MaRDI QIDQ974547

Ali Konuralp

Publication date: 3 June 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.02.029

zbMATH Keywords

two-point boundary value problemthermal conductivitythe variational iteration methodstrongly nonlinear problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of boundary value problems involving ordinary differential equations (34B60)

Related Items (1)

The steady temperature distributions with different types of nonlinearities

Cites Work

• Variational iteration method for solving Burgers and coupled Burgers equations
• Variational iteration method for solving nonlinear boundary value problems
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Numerical simulation of KdV and mKdv equations with initial conditions by the variational iteration method
• Variational iteration method for delay differential equations
• Numerov's method for strongly nonlinear two-point boundary value problems.
• Some recent developments of Numerov's method
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Approximate solution of nonlinear differential equations with convolution product nonlinearities
• Variational iteration method for solving generalized Burger-Fisher and Burger equations
• Variational iteration method for one-dimensional nonlinear thermoelasticity
• Two-dimensional differential transform method, Adomian's decomposition method, and variational iteration method for partial differential equations
• A new approach to nonlinear partial differential equations
• Variational iteration method for autonomous ordinary differential systems

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