Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra-Fredholm integral equations

سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 838

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شناسه ملی سند علمی:

JR_IJNAO-9-1_003

تاریخ نمایه سازی: 3 اسفند 1398

چکیده مقاله:

It is important to note that mixed systems of first and second-kind Volterra-Fredholm integral equations are ill-posed problems, so that solving discretized system of such problems has a lot of difficulties. We will apply the regularization method to convert this mixed system (ill-posed problem) to system of the second kind Volterra-Fredholm integral equations (well-posed problem). A numerical method based on Chebyshev wavelets is suggested for solving the obtained well-posed problem, and convergence analysis of the method is discussed. For showing efficiency of the method, some test problems, for which the exact solution is known, are considered

کلیدواژه ها:

Mixed systems of first and second-kind Volterra-Fredholm integral equations ، Regularization method ، Chebyshev wavelets ، Convergence analysis

نویسندگان

s pishbin

Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, P. O. Box ۱۶۵, Iran

j shokri

Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, P. O. Box ۱۶۵, Iran.