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- L M Abia, J C López-Marcos
- Mathematical biosciences
- 1999

We formulate explicit second-order finite difference schemes for the numerical integration of non-linear age-dependent population models. These methods have been designed by means of a representation formula for the theoretical solution of the integro-differential equation joint with open quadrature formulae for the numerical approximation of non-local… (More)

- Luis M. Abia, Oscar Angulo, Juan C. López-Marcos, M. A. López-Marcos
- Mathematical and Computer Modelling
- 2009

- Luis M. Abia, Jesús María Sanz Serna
- Computing
- 1990

A time-discrete pseudospectral algorithm is suggested for the numerical solution of a nonlinear third order equation arising in fluidization. The nonlinear stability and convergence of the new scheme are analyzed. Numerical comparisons with available finite-difference methods are also reported which clearly indicate the superiority of the new scheme. Zur… (More)

- Luis M. Abia, Oscar Angulo, Juan C. López-Marcos, M. A. López-Marcos
- J. Computational Applied Mathematics
- 2014

- Luis M. Abia, Oscar Angulo, Juan C. López-Marcos, M. A. López-Marcos
- Mathematical and Computer Modelling
- 2010

The proliferative behaviour at the stationary state of a cell population within a tumour cord has been described by a non-classical boundary value problem for a hyperbolic first order integro-partial differential equation [2]. The model was theoretically analyzed in [5], where sufficient conditions are given on the fraction of cells which enter… (More)

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