FORMULATION OF DIFFERENTIAL EQUATIONS UTILIZING THE RELATIONSHIP AMONG RAMANUJAN-TYPE EISENSTEIN SERIES AND h-FUNCTIONSH. C., VIDYASHETTY, PRAGATHI B.B., ASHWATH RAOGlobal & Stochastic Analysis
In Section 2, we state the identification problem of differential equations, and give details about the feature formulation in the weak form, the choice of test functions, and provide an error analysis of the weak form. We present our WeakIDENT Algorithm in Section 3 with the details of ...
Functional properties result in its indifference of the coordinate system and enable the use of approximate methods to find a solution. Variational physical interpretations are especially useful when analytical solutions of differential equations for mass, momentum and energy balance are nonexistent or ...
using both linear and quadratic basis functions for analysis. The Timoshenko beam theory is a 1-D problem that reduces the complex 3-D problem of beam deformation to a set of 1-D differential equations along the length of the beam. In contrast to the Euler–Bernoulli beam ...
The formulation is derived from linear differential equations based on a discrete spectrum representation for the creep and relaxation tensors. The incremental constitutive equations are then obtained by finite difference integration. Thus the difficulty of retaining the stress and strain history in ...
The Timoshenko beam theory is a 1-D problem that reduces the complex 3-D problem of beam deformation to a set of 1-D differential equations along the length of the beam. In contrast to the Euler–Bernoulli beam theory, which does not consider shear deformation, the Timoshenko beam theory ...
In order to prove our main result, the first step is to reduce the capillary-gravity water waves equations to a paradifferential system in a convenient complex unknown, suitable to prove energy estimates. The paralinearization of the water waves equations is obtained in Chap. 7, based on the...
aThis formulation results in a system of purely ordinary differential equations 这种公式化导致纯粹常微分方程系统[translate]
变分公式（variational formulation）是一种数学方法，通常用于处理偏微分方程（Partial Differential Equations...
变分公式（variational formulation）是一种数学方法，通常用于处理偏微分方程（Partial Differential Equations...