منابع مشابه
NON-POLYNOMIAL QUARTIC SPLINE SOLUTION OF BOUNDARY-VALUE PROBLEM
Quartic non-polynomial spline function approximation in off step points is developed, for the solution of fourth-order boundary value problems. Using consistency relation of such spline and suitable choice of parameter,we have obtained second, fourth and sixth orders methods. Convergence analysis of sixth order method has been given. The methods are illustrated by some examples, to verify the or...
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In this paper a, b are complex numbers. The following propositions are true: (1) a · a = a2. (2) a · a · a = a3. (3) a · a · a · a = a4. (4) (a− b) = (a2 − 2 · a · b) + b2. (5) (a− b) = ((a3 − 3 · a2 · b) + 3 · b2 · a)− b3. (6) (a− b) = (((a4 − 4 · a3 · b) + 6 · a2 · b2)− 4 · b3 · a) + b4. Let n be a natural number and let r be a real number. We introduce r1/n as a synonym of n √ r. Let n be a ...
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بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولExplicit solution of a class of quartic Thue equations
1. Introduction. In this paper we deal with the efficient solution of a certain interesting class of quartic Thue equations. In recent years general powerful methods have been developed for the explicit solution of Thue equations; see e.g. [TW], [PS] and the references given there. As these methods depend on rather heavy numerical computations, we think that methods for the solution of special ...
متن کاملnon-polynomial quartic spline solution of boundary-value problem
quartic non-polynomial spline function approximation in off step points is developed, for the solution of fourth-order boundary value problems. using consistency relation of such spline and suitable choice of parameter,we have obtained second, fourth and sixth orders methods. convergence analysis of sixth order method has been given. the methods are illustrated by some examples, to verify the or...
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ژورنال
عنوان ژورنال: Nature
سال: 1899
ISSN: 0028-0836,1476-4687
DOI: 10.1038/061055a0