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The Mori–Tanaka approach is extended to formulate the method of solution for the present problem.
This paper presents an exact three-dimensional method of solution for a transversely isotropic piezoelectric/piezomagnetic elastic media.
While the method of solution for crack problems in anisotropic elasticity and magnetoelectroelasticity is nearly identical, the prediction of crack initiation and/or growth behavior based on the asymptotic stress fields can differ widely depending on the chosen failure criterion.
In this section, we study the method of solution for Eq. (1.1).
Now we explain the method of solution for solving initial-boundary value problem (15 - 17 15 - 17
As for the method of solution for this case, there is no essential difference for the solving method with the normal case.
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Finally, the recent appearance of nonlinear fractional partial differential equations as adequate models in science and engineering makes it necessary to investigate the method of solutions for such equations.
Moderate changes were necessary to transform it into a fully implicit one using the NITSOL library with Newton Krylov methods of solution for nonlinear system of equations [4].
For further details as regards methods of solution for LSE problem (1), we refer to [2, 3, 7, 10 13].
For theoretical development and methods of solution for fractional differential equations, see the books [1 6] and references therein.
These results involve the theoretical development as well as the methods of solution for the fractional-order problems.
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