A STUDY OF NUMERICAL METHOD FOR SOLUTION FOR DIFFERENTIAL INTEGRATION EQUATIONS

Mathematics

Differential equations can describe nearly all systems undergoing change. Many mathematicians have studied the nature of these equations for hundreds of years and there are many well-developed solution techniques. Often, systems described by differential equations are so complex, or the systems that they describe are so large, that a purely analytical solution to the equations is not tractable. It is in these complex systems where computer simulations and numerical methods are useful. Traditional methods for solving the boundary value problems of elasticity and thermo elasticity are orientated towards usage of harmonic and biharmonic functions for stresses or displacements. Also, most of the existing methods are aimed at and adjusted to special loadings and forms of the region, and by far do not provide solutions in the form of a functional dependence of the stresses or displacements on the loading factors.

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.