Abstract
Many engineering problems can be reduced to the solution of a variable coefficient differential equation. In this paper, the exact analytic method is suggested to solve variable coefficient differential equations under arbitrary boundary condition. By this method, the general computation format is obtained. Its convergence is proved. We can get analytic expressions which converge to exact solution and its higher order derivatives unifornuy. Four numerical examples are given, which indicate that satisfactory results can be obtained by this method.
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References
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Zhen-yi, J., Kai-yuan, Y. Exact analytic method for solving variable coefficient differential equation. Appl Math Mech 10, 885–896 (1989). https://doi.org/10.1007/BF02017514
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DOI: https://doi.org/10.1007/BF02017514