The paper presents an adaptation of numerical solution of first order linear differential equation in fuzzy environment. The numerical method is re-established and studied with fuzzy concept to estimate its uncertain parameters whose values are not precisely known. Demonstrations of fuzzy solutions of the governing methods are carried out by the approaches, namely Modified Runge Kutta method an...

in this paper, the numerical algorithms for solving ‘fuzzy ordinary differential equations’ are considered. a scheme based on the 4th order runge-kutta method is discussed in detail and it is followed by a complete error analysis. the algorithm is illustrated by solving some linear and nonlinear fuzzy cauchy problems.

The Kinetic PreProcessor (KPP) is a widely used software environment which generates Fortran90, Fortran77, Matlab, or C code for the simulation of chemical kinetic systems. High computational efficiency is attained by exploiting the sparsity pattern of the Jacobian and Hessian. In this paper we report on the implementation of two new families of stiff numerical integrators in the new version 2....

With the sequence of many genomes now available the major challenge of functional genomics is 'reassembling the pieces'. One functional view of a living system is as a chemical reaction network, and new genomics technologies like RNA and protein profiling are providing ways to measure the state of these networks. The goal here is being able to simulate an arbitrary ensemble of hypothesized bioc...

The problem solving environments (PSEs) Maple [8] and Matlab [7] are in very wide use. Although they have much in common, they are clearly distinguished by the emphasis in Maple on algebraic computation and in Matlab on numerical computation. We discuss here a program, IVPsolve, for solving numerically initial value problems (IVPs) for systems of first order ordinary differential equations (ODE...

This paper presents a method for physical simulation of deformable closed surfaces over a network, which is suitable for realistic interactions between users and objects in a collaborative virtual environment (CVE). CVE's are being extensively used for training, design and gaming for several years. To demonstrate a deformable object in a CVE, we employ a real-time physical simulation of a unifo...

K e y w o r d s O r d i n a r y differential equations, Initial value problems, Runge-Kut ta methods, Stiffness detection, Symbolic computation, Computer algebra systems, Computer generation of numerical methods. 1. I N T R O D U C T I O N A framework for explicit Runge-Kutta methods is being implemented as part of an ongoing overhaul of MATHEMATICA~S differential equation solver NDSolve. One o...

Background: This paper explores the impact of thermal radiation on boundary layer flow of dusty hyperbolic tangent fluid over a stretching sheet in the presence of magnetic field. The flow is generated by the action of two equal and opposite. A uniform magnetic field is imposed along the y-axis and the sheet being stretched with the velocity along the x-axis. The number density is assumed to be...

Stretch-activated channels (SACs) have been considered as one of the possible modulators on the mechanisms of mechano-electrical feedback (MEF) in the heart. With the abilities to modulate action potential duration (APD) during the systolic period and to trigger action potentials directly by diastolic stretch, SACs could play an important role on stretch-induced arrhythmias. The objective of th...