In this paper we solve the initial value problem of the 3-wave interaction equations in 4+2 dimensions.doi:10.1007/s40315-020-00357-2M. C. van der WeeleA. S. FokasComputational Methods and Function Theory
Find {eq}f {/eq} by solving the initial-value problem. {eq}f'(x) = 9x^2 + 6x - 3 {/eq}; {eq}\quad f(2) = 6 {/eq} Initial Value Problem: First, we integrate both sides of the given differential equation (if variables are isolated from each other) to de...
Baker J. and Puzio R.: New Method for Solving the Initial Value Problem with Application to Multiple Black Holes, Phys. Rev. D 59, 04 4030 (1999)J Baker and R Puzio. New Method for Solving the Initial Value Problem with Application to Multiple Black Holes. Phys. Rev. D 59 04 4030,...
Answer to: Find f(x) by solving the initial value problem f '(x) = 9x^2 - 12x, f(3) = 30 By signing up, you'll get thousands of step-by-step...
Conventional Numerical Methods for Solving the Initial Value Problem Book Title Numerical Solutions of the N-Body Problem Pages pp 3-48 Copyright 1985 DOI 10.1007/978-94-009-5412-0_2 Print ISBN 978-94-010-8889-3 Online ISBN 978-94-009-5412-0 Series Title Mathematics and Its Applications ...
the initial value problem, i.e., finding a uniquely determined geodesic path from a given point in any direction. Since the shortest paths do not provide the unique solution on triangle meshes, we solve the initial value problem in an indirect manner: given a fixed point and an initial ...
Let the IVPx˙(t)=f(t,x(t)),t∈[t0,tf],x(t0)=x0, where f(t,x(t))∈Rn, t∈[t0,tf], satisfies the necessary conditions under which the problem has a unique solution. In this section an algorithm is presented which solves IVPs for ODEs by means of a BDF approach [8, Chap...
Consider a specific initial value problem such as: y(0) = a The exact solution for this problem is: y = ex - x - 1 Figure 11-1 shows a plot of this exact solution. Normally, if you can find an exact solution, you wouldn't resort to numerical integration. However, I chose this ...
Bound to specific constraints, the method returns an approximate solution assuredly within a given tolerance provided by a user. This makes it different from a large variety of single- and multi-step methods for solving initial value problems that provide results up to some undefined error in the...
E. Yusufog˘lu, "Numerical solving initial value problem for Fred- holm type linear integro-differential equation system," Journal of the Franklin Institute, vol. 346, no. 6, pp. 636-649, 2009.E. Yusufoglu, "Numerical solving initial value problem for Fredholm type linear integro-...