Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: metoda Tau

Sortuj według:

Ogranicz wyniki do:

Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

El-Sayed Adel Abd Elaziz

Demonstratio Mathematica

2023

Vol. 56, nr 1

art. no. 20220220

The nonlinear fractional-order cubic-quintic-heptic Duffing problem will be solved through a new numerical approximation technique. The suggested method is based on the Pell-Lucas polynomials’ operational matrix in the fractional and integer orders. The studied problem will be transformed into a nonlinear system of algebraic equations. The numerical expansion containing unknown coefficients will be obtained numerically via applying Newton’s iteration method to the claimed system. Convergence analysis and error estimates for the introduced process will be discussed. Numerical applications will be given to illustrate the applicability and accuracy of the proposed method.

Stress intensity factors computations using the singularity substraction technique incorporated with the Tau Method

Pan C. K, Liu K. M.

Computer Assisted Mechanics and Engineering Sciences

1998

Vol. 5, nr 1

55--64

In this paper we discuss the use of the singularity subtraction technique incorporated with the Tau Method for the numerical solution of singular partial differential equations which are relevant to the linear elastic fracture mechanics. To treat the singularity, we apply the singularity subtraction technique to the singular boundary value problems. The problems arising in this application are not in the standard form required by the Tau software. By introducing the pseudo-differential equations l k=0, k=1(1)m, to detrmine the stress intensity and higher order factors lk results in the standard boundary value problems. We consider two model crack problems including Motz ' anti-plane crack problem and plane strain problem defined by the biharmonic equation. We obtain results of considerable accuracy which compare favorably with those published in the recent literature.