A Review of Linear and Nonlinear Cauchy Singular Integral and Integro-Differential Equations Arising in Mechanics
نویسندگان
چکیده
منابع مشابه
A Review of Linear and Nonlinear Cauchy Singular Integral and Integro-differential Equations Arising in Mechanics
This study is primarily concerned with the presentation of a review of a collection (which could be regarded as a “test set”) of linear and nonlinear singular integro-differential equations with Cauchy kernels, all of which arise from practical applications in Applied Mathematics and Mathematical Physics. The main objective of this review is to provide numerical analysts and researchers interes...
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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 ...
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This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product. The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra integro--differential equations which appear in various fields of science such as physics and engineering. The Operational matr...
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In these appendices we present, successively, I conditions for the existence of a unique solution of (1.1) and (1.2); II three tables of coefficients of forward differentiation formulas, and of two common LM formulas for ODEs, viz., backward differentiation formulas and Adams-Moulton formulas; III two lemmas which are needed in: IV proofs of the main results of this paper, as far as they are no...
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ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 2007
ISSN: 0897-3962
DOI: 10.1216/jiea/1182525213