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حل معادلات انتگرال فردهلم نوع دوم براساس چند جملهای درونیاب شبه اسپلاین
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چکیده
در این پایاننامه ابتدا راهحلهای عددی برای دستگاه معادلات انتگرال فردهلم[1] نوع دوم با روشی نو در استفاده از روش موجک شبه متعامد بیاسپلاین[2] مطرح می شود و سپس الگوریتم تکراری مؤثر برای معادلات انتگرال فردهلم نوع دوم، براساس شبه درونیاب اسپلاین پیشنهاد میگردد، و نشان داده میشود که برای هر گام تکراری یک مرتبه همگرایی سریع (فوق همگرایی) بهدست میآید.
همچنین روش تقریب تابعی براساس [3]QIS(معادله انتگرال فردهلم نوع دوم براساس شبه درونیاب اسپلاین) در این پایاننامه بسط داده خواهد شد و سپس نتایج بهدست آمده به کمک مثالهای عددی تشریح میگردد.
[1]– Fredholm
[2]– B-spline
[3]– Quasi-interpolants
7 دیدگاه برای حل معادلات انتگرال فردهلم نوع دوم براساس چند جملهای درونیاب شبه اسپلاین
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