Convergent series solution of nonlinear equations
نویسندگان
چکیده
منابع مشابه
existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
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 اولSolution of Nonlinear Equations
Suppose that f is a continuous function on the interval [a, b] and f(a)f(b) < 0. By intermediate value theorem, f has at least one zero in the interval [a, b]. We next calculate c = (a + b)/2 and test fc). If f(c) = 0, then c is the root and we are done. If not, then either f(a)f(c) < 0 or f(b)f(c) < 0. In the former case, a root lies in [a, c] and we rename c as b and do the same process. In t...
متن کاملANALYTICAL-NUMERICAL SOLUTION FOR NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
Using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of Hammerstein type . The mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). The procedure of this method is so fast and don't need high cpu and complicated programming. The advantages of this method are that we can applied for those integral equations whi...
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We consider a new type of integrable coupled nonlinear Schrodinger (CNLS)equations proposed by our self [submitted to Phys. Plasmas (2011)]. The explicitform of soliton solutions are derived using the Hirota's bilinear method.We show that the parameters in the CNLS equations only determine the regionsfor the existence of bright and dark soliton solutions. Finally, throughthe linear stability an...
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The topic in the PI’s current grant1 is: Given a linear homogeneous linear differential equation with polynomial coefficients, decide if it can be solved in terms of special functions, and if so, find such solutions. Much progress on his topic has been made by the PI and his graduate students (Sections 2 and 6). Numerous algorithms were developed that turned out to be very effective. The PI tes...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1984
ISSN: 0377-0427
DOI: 10.1016/0377-0427(84)90022-0