Solving coupled differential equations iteratively.
- To: mathgroup at smc.vnet.net
- Subject: [mg120989] Solving coupled differential equations iteratively.
- From: mathpavi <elvisgraceland at gmail.com>
- Date: Sat, 20 Aug 2011 06:18:20 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
Dear all, The have to do the following: NDSolve the coupled differential equations : x'(t) = c1 - k1x(t) - k/(Abs(x(t) -y(t)))^2 y'(t) = c2 - k1y(t) - k/(Abs(x(t) -y(t)))^2 where c1 and c2 are two lists I already have (from these lists, the first value of c1 and the first value of c2 have to used in evaluation.) with initial condition for the first evaluation being provided by me. For the second step, the interpolating functions got as the answers (in the first step) have to be evaluated at t =0.001 and these values have to be used as the initial condition for NDSolving the equations second time and also appear as the values for Abs(x(t) - y(t)) and the values for c1 and c2 have to be drawn as the second entries from the already defined lists for c1 and c2. This process has to be repeated till we have used all the values of c1 and c2 in the already defined lists for the same.