Rational Approximation for Bratu-Type Equations
Moustafa Aly Soliman
Broschiertes Buch

Rational Approximation for Bratu-Type Equations

of Solid and Hollow Geometries

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Several theoretical studies and numerical methods were used for the study of the Bratu problem. It is a two point boundary value problem of a second order non-linear ordinary differential equation. The Bratu equation models thermal explosion in an enclosure, a non-isothermal zero order reaction in a catalyst particle and appears in the theory of the electric charge around a hot wire, in certain problems of solid mechanics, and the electrospinning of nanofibres. The initial value problem analogue to Bratu equation is called Lane Emden equation of the second kind. The Lane Emden equation is a ba...