Duhamel's theorem

Duhamel's theorem

[dyə′melz ‚thir·əm]
(mathematics)
If ƒ and g are continuous functions, then where xi ′ and xi ″ are between xi-1 and xi, i = 1, …, n, and |Δ x | = max {xi-xi-1 } for a partition a = x0<>x1< …="">xn = b.
References in periodicals archive ?
Solving the Eqs (12) and (13) using Duhamel's theorem and Laplace transform method we can obtain the concentrations of species P and Q which is as follows [10]
An analytical expression pertaining to the concentrations and current for homogeneous catalytic reactions with equal diffusion coefficients at hemispherical microelectrodes under non-steady-state conditions are obtained using Duhamel's theorem.
The application of Laplace transforms and Duhamel's theorem to solve time-dependent boundary conditions