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2015
We have already seen in 3 that the solution of differential equations of constants coefficient depends on the solutions of the associated algebraic characteristic equation. There is no similar procedure for solving linear differential equation with variable coefficients.
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We have already seen in 3 that the solution of differential equations of constants coefficient depends on the solutions of the associated algebraic characteristic equation. There is no similar procedure for solving linear differential equation with variable coefficients.
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Series Solutions for Beams on Elastic Foundations
Journal of Applied Mechanics, 1971In this paper series solutions are derived for beams on elastic foundation, subjected to a variety of end and loading conditions. These series solutions have the following advantages over the “formal” solutions of the differential equations of the corresponding problems: 1.
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A series solution to the Thomas–Fermi equation
Applied Mathematics and Computation, 2008Abstract Nonlinear Thomas–Fermi equation is solved by an analytic technique named homotopy analysis method (HAM) in this paper. For a further improvement of the convergence and precision of the solution to Thomas–Fermi equation by HAM, different from previous work, however, a more generalized set of basis function and consequential auxiliary linear ...
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Series Solutions of Bôcher Equations
Journal of Mathematics and Physics, 1961Moon, Parry, Eberle Spencer, Domina
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On the Optimal Solutions to AND/OR Series-Parallel Graphs
Journal of the ACM, 1971Richard Simon, Richard C. T. Lee
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