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The set of equations is based on roundabout geometric parameters, and Eqs.

The solution procedure to the system of equations is based on the orthogonal collocation method.

The numerical evaluation of the basic kinetic equations is based upon finite difference methods.

The solution of the partial differential equations is based on the finite-difference technique with an implicit scheme.

The development of the design equations is based upon treating the web and the flange in isolation.

A very successful approach to numerically solving the SCFT set of equations is based on using a spectral approach.

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The estimation equations are based on the integral equation approach.

These equations are based on elastic theory for singly-symmetric and doubly-symmetric sections.

Governing equations are based on the classical plate theory with von Karman-type geometric nonlinearity.

Mostly, model equations are based on the so-called law of corresponding states.

All these equations are based on different design parameters and proposed for normal concrete deep beams.

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