In the present work, a new approximated method for solving nonlinear Duffing-Van der Pol (D-VdP) oscillator equation is suggested. The approximate solution of this introduced with two separate techniques. First, we convert D-VdP to Volterra integral second kind (VIESK) using integration, and then, it hybrid Legendre polynomials block-pulse function (HLBPFs). next technique into system ordinary ...

in this paper, we present a numerical method for solving nonlinear fredholm and volterra integral equations of the second kind which is based on the use of haar wavelets and collocation method. we use properties of block pulse functions (bpf) for solving volterra integral equation. numerical examples show efficiency of the method.

background: potassium, as an extracellular ion, plays an important role in the electrophysiologic function of the myocardium and any change in extracellular concentration of this ion might have a marked impression upon myocyte electrophysiologic gain. high serum potassium levels are thought to impair pulse conduction in purkinje fibers and ventricles more than that in the atrioventricular (av) ...

Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them. This method is based on the hybrid functions of Legendre polynomials and block-pulse functions. By using this approach, a nonlinear Volterra-Fredholm integral equation reduces to a no...

This paper presents an effective numerical method for solving a class of nonlinear VolterraFredholm integral equations by using the hybrid functions of Legendre polynomials and block-pulse functions. The proposed method which differs with previous approaches, attemp ts to use the exact forms of known functions in solving the integral equation. So its accuracy appropriately increases and the com...