This chapter solves few test problems using the present method to make the readers familiar with the method. As such, two linear nonhomogeneous partial differential equations are handled in two examples, and a nonlinear partial differential equation has been solved in other example....
The convergence of the variation iteration method has been investigated in He and Lee (2009). In the next sections, we present two examples to demonstrate that the variation iteration method is effective and the results are in good agreement with the exact solution. View chapter Book 2017, Mode...
used a graph-theory based generation method of computation sequences to trace the calculation order of components and pipeline. Thus, their solver was different from the traditional one. A tailor-made refrigerant mass induced iteration algorithm was developed to solve the internal coupled component ...
This system can be solved by using the varia- tional iteration method. By this technique we can solve a wide range of N th 720 I. H. Abdel-Halim Hassan, M. I. A. Othman and A. M. S. Mahdy boundary-value problems. At the end of this paper some examples are given for N = 9...
Question: For a given iteration of the Bisection method the absolute relative approximate error is defined asEa = |xm − x′m|/xm,where x′m is the estimate from the previous iteration. Show thatEa = |xl − xu|/(xl + xu),Hi...
variational iteration methodIn this paper, the uncertain characteristic Cauchy reaction-diffusion equation is solved by the variational iteration method. The uncertain characteristic Cauchy problem is converted to a system of characteristic Cauchy problems by parametric representation and LU-fuzzy representation...
The method relies on the inverse power iteration technique, where the sequential application of the Hamiltonian inverse to an initial state prepares the approximate ground state. To apply the inverse Hamiltonian operation, we write it as a sum of unitary evolution operators using the Fourier ...
cout << "You had to wait " << numyears << Example iterative calculation: decay of CFC gas " years" << endl; 149 7.2.2 Newton's method for finding a square root Problem: The math library, that implements the functions declared in the math.h header file, is coded using the best ...
In this Letter, by introducing He's polynomials in the correct functional, we propose a new fractional variational iteration method to solve nonlinear time-fractional partial differential equations involving Jumarie's modified Riemann–Liouville derivative. Several examples have been solved to illustrate ...
The core of the design is focused on optimizing cost solved through workload management. The method depicts reduction of grid electricity use by 60% having no impact over the quality of service provided by the applications. A VM placement method by Khosravi et al. [72] discusses energy ...