Numerical techniques for a parabolic equation subject to an overspecified boundary condition
Applied Mathematics and Computation
Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation
Applied Numerical Mathematics
Integro-differential models for percutaneous drug absorption
International Journal of Computer Mathematics
On the stability of a class of splitting methods for integro-differential equations
Applied Numerical Mathematics
The boundary layer problem: A fourth-order adaptive collocation approach
Computers & Mathematics with Applications
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In the present paper a numerical method, based on finite differences and spline collocation, is presented for the numerical solution of a generalized Fisher integro-differential equation. A composite weighted trapezoidal rule is manipulated to handle the numerical integrations which results in a closed-form difference scheme. A number of test examples are solved to assess the accuracy of the method. The numerical solutions obtained, indicate that the approach is reliable and yields results compatible with the exact solutions and consistent with other existing numerical methods. Convergence and stability of the scheme have also been discussed.