New adaptative numerical algorithm for solving partial
The paper introduces an acurrate numerical appraoch based on orthonormal
Bernoulli polynomials for solving parabolic partial integro-
differential equations (PIDEs). This type of equations arises in physics
and engineering. Some operational matrix are given for these polynomials
and are also used to obtain the numerical solution. By this approach,
the problem is transformed into a nonlinear algebraic system.
Convergence analysis is given and some experiment tests are studied to
examine the good accuracy of the numerical algorithm, the proposed
technique is compared with some other well known methods.