We have proposed an algorithm for the solution of inhomogeneous singular second-order differential equations with variable coefficients, based on a model of the hybrid WKB–Galerkin method. The efficiency of this approach is illustrated in the solution of an applied problem describing heat removal through a radiator of variable geometry.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 1, pp. 82–87, January–March, 2008.
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Pogrebitskaya, A.M. On the efficiency of the WKB–Galerkin method in differential equations with variable coefficients. J Math Sci 160, 379–385 (2009). https://doi.org/10.1007/s10958-009-9505-0
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DOI: https://doi.org/10.1007/s10958-009-9505-0