Abstract: In this article, we prove that all non-trivial solutions of $f^{\prime \prime}+A(z) f^{\prime}+B(z) f=0$ are of infinite order, when there are some ...

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Proceedings of the National Academy of Sciences of the United States of America, Vol. 39, No. 3 (Mar. 15, 1953), pp. 201-206 (6 pages) ...

In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve ...

This is a preview. Log in through your library . Abstract This paper is concerned with oscillation of a certain class of second-order differential equations with a sublinear neutral term. Two ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

A novel Haar scale-3 wavelet collocation technique is proposed in this study for dealing with a specific type of parabolic Buckmaster second-order non-linear partial differential equation in a ...

Abstract: A new analytical method for finding the general solution of the nth-order linear differential equation with variable coefficients is given based on generalizing the idea of differential ...

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In geometrically nonlinear problems solved using the Finite Element Method (FEM), the structure response is directly influenced by the level of discretization and the nonlinear solution algorithm used ...