in this work, we study the performance of the sinc-collocation method for solving bratu's problem. for different choices of step size, we consider the maximum absolute errors in the solutions at sinc grid points and tabulated in tables. the comparison of the obtained results veri ed that this method converges to the exact solution rapidly and with

We investigate the hard nonresonant excitation of the forced Duffing equation with a positive damping parameter E. Using the symbolic manipulation system MACSYMA, a computer algebra system. we derive the two term perturbation expansion by the method of multiple time scales. The resulting approximate solution is valid for small values of the coefficient e As the damping parameter e increases, th...

the comprehensiveness of islam necessitates that it would meet all the needs of humankind in all aspects of his life, including economic problems. knowing that economists believe in scarcity of natural resources and human's unlimited needs as the main problems of economy in management of human's life, it is questioned if there would be any solution in fiqh and religious teachings. ref...