We develop a novel technique for numerically computing the primordial power spectra of comoving curvature perturbations. By finding suitable analytic approximations different regions mode equations and stitching them together, we reduce solution differential equation to repeated matrix multiplication. This results in wave-number-dependent increase speed which is orders magnitude faster than tra...

In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA), Successive Differentiation (FSDM), and Novel Analytical (FNAM), have been introduced. These iterative methods are applied on types of Electrical RLC-Circuit Equations fractional-order. The fractional series approximation derived solutions can be established by using obtained coefficients. algorithm...

this paper presents the high order frequency-amplitude relationship for nonlinear transversely vibrating beams with odd and even nonlinearities using homotopy perturbation method with an auxiliary term (hpmat). the governing equations of vibrating buckled beam, beam carrying an intermediate lumped mass and quintic nonlinear beam are investigated to exhibit the reliability and ability of the pro...

the cuckoo search algorithm is a recently developedmeta-heuristic optimization algorithm, which is suitable forsolving optimization problems. to enhance the accuracy andconvergence rate of this algorithm, an improved cuckoo searchalgorithm is proposed in this paper. normally, the parametersof the cuckoo search are kept constant. this may lead todecreasing the efficiency of the algorithm. to cop...

the main aim is to study the two dimensional axisymmetric problem of thick circular plate in modified couple stress theory with heat and mass diffusive sources. the thermoelastic theories with mass diffusion developed by sherief et al. [1] and kumar and kansal [2] have been used to investigate the problem. laplace and hankel transforms technique is applied to obtain the solutions of the governi...