105 research outputs found
Nonlinear dynamic analysis of viscoelastic membranes described with fractional differential models [Analiza nieliniowej dynamiki lepko-spre{ogonek}żystych powłok opisanych modelem o pochodnej ułamkowej]
Large deflection analysis of plates on elastic foundation by the boundary element method
Dynamic analysis of nonlinear membranes by the analog equation method: A boundary-only solution
The 2D elastostatic problem in inhomogeneous anisotropic bodies by the meshless analog equation method (MAEM)
The BEM for numerical solution of partial fractional differential equations
AbstractA numerical method is presented for the solution of partial fractional differential equations (FDEs) arising in engineering applications and in general in mathematical physics. The solution procedure applies to both linear and nonlinear problems described by evolution type equations involving fractional time derivatives in bounded domains of arbitrary shape. The method is based on the concept of the analog equation, which in conjunction with the boundary element method (BEM) enables the spatial discretization and converts a partial FDE into a system of coupled ordinary multi-term FDEs. Then this system is solved using the numerical method for the solution of such equations developed recently by Katsikadelis. The method is illustrated by solving second order partial FDEs and its efficiency and accuracy is validated
A generalized Ritz method for partial differential equations in domains of arbitrary geometry using global shape functions
The meshless analog equation method: A new highly accurate truly mesh-free method for solving partial differential equations
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