Journal of Applied & Computational Mathematics

In this paper we introduced the definition of perfect folding of graphs and we proved that cycle graphs of even number of edges can be perfectly folded while that of odd number of edges can be perfectly folded to C3. Also we proved that wheel graphs of odd number of vertices can be perfectly folded to C. Finally we proved that if G is a graph of n vertices such that 2>clique number=chromatic number=k>n, then the graph can be perfectly folded to a clique of order k.

Purpose: The purpose of present study is to analyze the mixed convection impact for an exponentially decreasing free stream in laminar water boundary layer flow with variable viscosity and Prandtl number. The analysis includes the effect of suction/blowing and heat generation/ absorption. Design/methodology/approach: The non-linear partial differential equation governing the flow and thermal fields are presented in nondimensional form by using appropriate transformations. The Quasilinearization technique in combination with implicit finite difference scheme has been adopted to solve the non- linear coupled partial differential equations. Findings: It was found that the influence of The numerical results are displayed graphically to illustrate the influence of various nondimensional physical parameters on velocity and temperature buoyancy assisting force on both velocity as well as temperature profile is significant. Skin friction coefficient increases with Richardson number and deceleration parameter. The heat transfer coefficient decrease with the increase of heat generation/absorption parameter and increases with an increase in wall suction/injection parameter. Originality/value: The present investigation deals with the solution of steady laminar water boundary layer flows with an exponentially decreasing free stream velocity and temperature-dependent viscosity and Prandtl number applicable to water using practical data.

The Goldbach’s Strong Conjecture is one of the oldest unsolved problem in number theory in Mathematics. We have created a pair of formulae to the Goldbach's strong conjecture because the statement is based with the basic concept of Mathematics. The main focus before creation was, If we can create a formula or a pair of formulae to the said conjecture, that will bring an interesting events among the students (readers) who love Mathematics, the creations will give them a huge pleasure, when they can solved, the primes whose sum are equal to the positive integer say 46,by applying our created formulae.

The current work provides the Hermite wavelet method (HWM) for an incompressible Nanofluid hydromagnetic flow through a stretching cylinder associated with heterogeneous-homogeneous chemical reactions. Single-walled carbon nanotubes (SWCNTs) with multi-walled carbon nanotubes (MWCNTs) as nanoparticles in the form of arranged heat flux are accounted for currently. Regulating equations, which are highly nonlinear coupled, are changed right into non-dimensional ordinary differential equations (ODEs) using appropriate similarity transformations. The desire for exceptional flow constraints on the flow feature is finalized truthfully through tables and graphs. Graphic summaries are offered for the rheological qualities of various parameters in size for velocity, temperature, concentrations, and nanoparticles. Comparison of the numerical outcomes is made with previously available consequences under particular cases, and the results are found to be in good agreement. The Hermite wavelet technique is hugely proficient and sensible for finding outcomes to this type of coupled nonlinear ODEs. The works are in outstanding accord for coupled nonlinear ordinary differential equations (ODEs) in engineering applications.

The current work provides the Hermite wavelet method (HWM) for an incompressible Nanofluid hydromagnetic flow through a stretching cylinder associated with heterogeneous-homogeneous chemical reactions. Single-walled carbon nanotubes (SWCNTs) with multi-walled carbon nanotubes (MWCNTs) as nanoparticles in the form of arranged heat flux are accounted for currently. Regulating equations, which are highly nonlinear coupled, are changed right into non-dimensional ordinary differential equations (ODEs) using appropriate similarity transformations. The desire for exceptional flow constraints on the flow feature is finalized truthfully through tables and graphs. Graphic summaries are offered for the rheological qualities of various parameters in size for velocity, temperature, concentrations, and nanoparticles. Comparison of the numerical outcomes is made with previously available consequences under particular cases, and the results are found to be in good agreement. The Hermite wavelet technique is hugely proficient and sensible for finding outcomes to this type of coupled nonlinear ODEs. The works are in outstanding accord for coupled nonlinear ordinary differential equations (ODEs) in engineering applications.