Physics – Mathematical Physics
Scientific paper
2010-08-13
Physics
Mathematical Physics
18 pages, 5 figures; Published online in the journal of "Mathematical Methods in the Applied Sciences"
Scientific paper
10.1002/mma.1318
This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approach to solve the Volterra's model for population growth of a species within a closed system. This model is a nonlinear integro-differential equation where the integral term represents the effect of toxin. This approach is based on orthogonal functions which will be defined. The collocation method reduces the solution of this problem to the solution of a system of algebraic equations. We also compare these methods with some other numerical results and show that the present approach is applicable for solving nonlinear integro-differential equations.
Parand K.
Rezaei A. R.
Taghavi Ali
No associations
LandOfFree
Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-503361