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I need to solve a differential-functional equation: $\partial_t x_m(t,s) = \sum_n A_{mn} x_n(t,s) + \int_0^t \sum_n \sum_{n'} B_{mnn'}(t,s') x_n(t,s) x_{n'}(t,s') ds'$ with $t > s$ and initial condition $x_m(t,t) = C_m$. What is the best numerical procedure? |
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Integrating a differential-functional equationI need to solve a differential-functional equation: $\partial_t x_m(t,s) = \sum_n A_{mn} x_n(t,s) + \int_0^t \sum_n \sum_{n'} B_{mnn'}(t,s') x_n(t,s) x_{n'}(t,s') ds'$ What is the best numerical procedure?
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