Mohammad Ali Asadi

Galerkin RBF for Integro-Differential Equations

Jafar Biazar & Mohammad Ali Asadi · Journal of Advances in Mathematics and Computer Science · 2015

Two methods based on the Galerkin method with Radial basis Functions (RBF) as bases are applied to solve integro-differential equations (IDEs). In the rst approach, direct Galerkin RBF method, the unknown function of the IDE is approximated by RBFs and then the derivatives of it...

Open access Research Article 10.9734/BJMCS/2015/19265

Indirect RBF for High-Order Integro-Differential Equations

Jafar Biazar & Mohammad Ali Asadi · Journal of Advances in Mathematics and Computer Science · 2015

Two di erent approaches are applied to solve high-order integro-di erential equations (IDEs), based on Radial Basis Functions (RBF). The rst approach, which is called the direct approach (DRBF) is based on di erentiation, and considers the solution as a nite linear combination of...

Open access Research Article 10.9734/BJMCS/2015/19199