Solving a class of multidimensional Volterra integral and integro-differential equations

Voir Plus Voir Moins

Afficher le Résumé

This thesis studies a numerical approach for solving linear two-dimensional delay partialaVolterra integro-differential equations. A collocation method based on Taylor polynomials is developed to approximate the solution on a spatial domain defined piecewise. The proposed scheme computes the approximation coefficients iteratively without the need to solve large systems of algebraic equations. A theoretical analysis establishes the global convergence of the method under appropriate smoothness assumptions. Numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method.

Télécharger Document