We present a method for reconstructing the magnetic field B above the photosphere {z = 0} as the solution of the boundary value problem (BVP) for a bounded regular forcefree magnetic field in Ω = {z > 0} from its boundary values supposed to be given on {z = 0}. We propose a way for regularizing the class of standard extrapolation methods which turns out to diverge quickly with height, because o...

A large system of N strains of parasite and a single host is analyzed as a function of the degree of virulence in the strains when there is super-infection between hosts (more virulent strains can infect hosts that are already infected) and within-host transition between strains that is neutral. When this small amount of local switching is allowed, steady-state solutions converge to a continuou...

Delayed neural field models can be viewed as a dynamical system in an appropriate functional analytic setting. On two dimensional rectangular space domains, and for special class of connectivity delay functions, we describe the spectral properties linearized equation. We transform characteristic integral equation differential (DDE) into linear partial (PDE) with boundary conditions. demonstrate...

Indigenous upland rice (Oryza sativa L.) is an important staple food for people. The productivity of generally lower than lowland since crop yield depends on the amount rainfall. Climate change a major problem in production due to unpredictable flowering time, maturity days, growth duration, and photoperiod sensitivity are determining productivity. Therefore, this study, indigenous germplasm wa...

In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.

In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.

Hybrid rigid–flexible mechanisms are a type of compliant mechanism that combines rigid and flexible elements, being their mobility is due to rigid-body joints the relative flexibility bendable rods. Two modeling methods rods Cosserat rod model its simplification, Kirchhoff model. Both them present system differential equations must be solved in conjunction with boundary constraints rod, leading...

This paper presents a collocation method with an iterative linear system solver to compute periodic solutions of a system of autonomous delay differential equations (DDEs). We show that the linearized collocation system is equivalent to a discretization of the linearized periodic boundary value problem (BVP). This linear BVP is solved using the Newton-Picard single shooting method ([Int. J. Bif...