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Register a new userA numerical solution of linear volterra integral equations of Second Kind with weakly singular kernel using the fifth order of non- polynomial spline functions
الحل العددي لمعادلة فولتيرا التكاملية الخطية من النوع الثاني ذات النواة الشاذة الضعيفة باستخدام دوال سبلاين غير الحدودية من الدرجة الخامسة
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سنطبق في هذا العمل طريقة دوال سبلاين غير الحدودية من الدرجة الخامسة لحل معادلة فولتيرا التكاملية الخطية من النوع الثاني ذات النواة الشاذة الضعيفة حيث قمنا بتطبيق أمثلة عددية لتوضيح هذه الطريقة و مقارنة نتائجها مع نتائج طرق عددية أخرى .
In this work , The fifth order non-polynomial spline functions is used to solve linear volterra integral equations with weakly singular kernel . Numerical examples are presented to illustrate the applications of this method and to compare the computed results with other numerical methods.
References used
COLLINS,P.j 2006-Differential and Integral equations. Oxford University Press Inc , New York
DIOGO,T , FORD, N.J , LIMA,P and VALTCHEV,S 2006- Numerical method for a Volterra Integral Equation with Non- Smooth Solutions ,Journal of Computational And Applied Mathematics, pp. 412-423
DIOGO,T , LIMA,P 2008-Superconvergence of collocation methods for a class of weakly singular volterra integral equations ,Journal of Computational And Applied Mathematics, pp. 307-316
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معادلة الموجة
wave equation
طريقة تفريق أدوميان
طريقة التكرار التغايري
حدودية أدوميان
معادلة كلاين غوردن
معادلة التلغراف
معادلة الانتشار الحراري
Adomian Decomposition Method
Variational Iteration Method
Adomian Polynomial
Klien Gordon equation
Telegraph equation
Diffusion Convection equation
المزيد..
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