Abstract
In this study, the non-polynomial spline function of fourth order is
given to solve the second kind of the nonlinear Volterra integral
equation. Numerical examples are show to clarify the applications of
the proposed method and to compare the calculated results with other
methods. In addition, there is a comparison of the absolute value of the
error that estimated by of the suggested method is compared by those
that estimated through other methods and the exact solution. The
obtained results are very encouraging compared by other numerical
methods.
given to solve the second kind of the nonlinear Volterra integral
equation. Numerical examples are show to clarify the applications of
the proposed method and to compare the calculated results with other
methods. In addition, there is a comparison of the absolute value of the
error that estimated by of the suggested method is compared by those
that estimated through other methods and the exact solution. The
obtained results are very encouraging compared by other numerical
methods.
Keywords
exact solution.
non-polynomial spline
Volterra integral equations
Abstract
يف اذه ثحبلا ، نم ةيطخلا ريغ ةيلماكتلا اريتلوف ةلداعم لحل ةعبارلا ةجردلا نم دودحلا ةددعتم ريغ لاود تمدق
قرطلا عم ةبوسحملا جئاتنلا ةنراقمو ةحرتقملا ةقيرطلا تاقيبطتل حيضوت ةيددعلا ةلثملاا ترهظأ ثيح، يناثلا عونلا
ا هذهل أطخلل ةقلطملا ةميقلا انراق ، كلذ ىلإ ةفاضلإاب. ىرخلاا كلذل . يقيقحلا لحلاو ىرخلأا قرطلا عم ةقيرطل نإف
م انتقيرط نم اهيلع لوصحلا مت يتلا جئاتنلا ش .ىرخلاا ةيددعلا قرطلاب ة
قرطلا عم ةبوسحملا جئاتنلا ةنراقمو ةحرتقملا ةقيرطلا تاقيبطتل حيضوت ةيددعلا ةلثملاا ترهظأ ثيح، يناثلا عونلا
ا هذهل أطخلل ةقلطملا ةميقلا انراق ، كلذ ىلإ ةفاضلإاب. ىرخلاا كلذل . يقيقحلا لحلاو ىرخلأا قرطلا عم ةقيرطل نإف
م انتقيرط نم اهيلع لوصحلا مت يتلا جئاتنلا ش .ىرخلاا ةيددعلا قرطلاب ة