Analytical approximate solutions of certain nonlinear equations of reaction-diffusion kind
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 اولAn Approximate Analytical Solution of Coupled Nonlinear Fractional Diffusion Equations
In recent years, fractional reaction-diffusion models have been studied due to their usefulness and importance in many areas of mathematics, statistics, physics, and chemistry. In a fractional diffusion equation, the second derivative in the spatial variable is replaced by a fractional derivative. The resulting solutions spread faster than classical solutions and may exhibit asymmetry, dependin...
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where S, T are closed, bounded intervals of the real line, K(t, s) is a given kernel on T x S with appropriate properties, and u(t) is known only for t E A = (t1 ) t, )..., t,J, where tl < t2 < *.. < t, , [tl , tn] = T. Letting u(t*) = ui , we take as an approximate solution the function 2 which satisfies Uf = s K(ti , s) S(s) ds, i = 1, 2,..., n (1.2) s and minimizes a quadratic functional J(z...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1991
ISSN: 0895-7177
DOI: 10.1016/0895-7177(91)90084-k