A NEW ALGORITHM FOR SOLVING NONLINEAR BOUNDARY VALUE PROBLEMS ARISING IN HEAT TRANSFER
2011 ◽
Vol 02
(03)
◽
pp. 355-373
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Keyword(s):
In this paper, a very efficient and easy-to-use successive linearization approach for solving nonlinear differential equations is proposed. The implementation of the method is demonstrated by solving three nonlinear differential equations of different complexities arising in heat transfer. New closed form explicit analytic solutions of some of the governing nonlinear equations are obtained and compared with the results of the proposed method and with numerical solutions from the MATLAB in-built routine bvp4c.
2016 ◽
Vol 05
(02)
◽
pp. 1650010
◽
1980 ◽
Vol 10
(1)
◽
pp. 35-58
◽
1979 ◽
Vol 2
(1)
◽
pp. 61-68
◽