Abstract Population models are used to determine maximum harvest for agriculturists and understand the dynamics of biological invasions environmental conservation. Also, population spread parasites, viruses disease. However, mathematical model can be make future prediction growth population. In this paper, numerical study solving fuzzy has been introduced. The development direct explicit integr...

Renal autoregulatory (AR) mechanisms provide the primary protection against transmission of systemic pressures, and their impairment is believed to be responsible for the enhanced susceptibility to hypertensive renal damage in renal mass reduction (RMR) models. Assessment of AR capacity by the "step" change methodology under anesthesia was compared with that by "dynamic" methods in separate con...

In this paper a rst step in classifying the fuzzy subgroups of a nite nonabelian group is made. We develop a general method to count the number of distinct fuzzy subgroups of such groups. Explicit formulas are obtained in the particular case of dihedral groups.

In this paper we continue the study of the Diagonally IMplicit-EXplicit Runge-Kutta (DIMEX-RK) methods that we proposed in the first part of this work in the framework of Finite Volume methods for unstructured grids. These new numerical approximation schemes are based on a special splitting of the physical and numerical flux vector functions into a convective and a non-convective part. In the f...

8. First-Order Equations: Numerical Methods 8.1. Numerical Approximations 2 8.2. Explicit and Implicit Euler Methods 3 8.3. Explicit One-Step Methods Based on Taylor Approximation 4 8.3.1. Explicit Euler Method Revisited 4 8.3.2. Local and Global Errors 4 8.3.3. Higher-Order Taylor-Based Methods (not covered) 5 8.4. Explicit One-Step Methods Based on Quadrature 6 8.4.1. Explicit Euler Method Re...

We examine corresponding Cauchy-Riemann equations by using the non-commutativity for the product on split-biquaternions. Additionally, we describe the regularity of functions and properties of their differential equations on split-biquaternions. We investigate representations and calculations of the derivatives of functions of split-biquaternionic variables. c ©2016 all rights reserved.

In this paper, a new method of analysis for second order initial value problems using the RKButcher algorithms is presented. To illustrate the effectiveness of the RK-Butcher algorithms, seven problems of different kinds have been considered and the solutions were obtained using the RK method based on Arithmetic mean (RKAM), Centroidal mean (RKCeM) and the RK-Butcher Algorithms and are compared...

In this paper we construct predictor-corrector (PC) methods based on the trivial predictor and stochastic implicit Runge–Kutta (RK) correctors for solving stochastic differential equations. Using the colored rooted tree theory and stochastic B-series, the order condition theorem is derived for constructing stochastic RK methods based on PC implementations. We also present detailed order conditi...

An explicit Runge-Kutta-Nyström method is developed for solving second-order differential equations of the form q′′ f t, q where the solutions are oscillatory. The method has zero-dissipation with minimal phase-lag at a cost of three-function evaluations per step of integration. Numerical comparisons with RKN3HS, RKN3V, RKN4G, and RKN4C methods show the preciseness and effectiveness of the meth...