Abstract: Analytic expressions are developed for integrals over curvilinear domains where the integrands are the product of polynomial bases with natural logarithm kernels whose arguments are ...

Maths Class 12 Integrals MCQs: The Central Board of Secondary Education (CBSE) is responsible for conducting the term-end board exam for class 12, which is considered among the most challenging and ...

In this paper, an efficient method is presented for solving two dimensional Fredholm and Volterra integral equations of the second kind. Chebyshev polynomials are applied to approximate a solution for ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

This is the way I am currently evaluating the integrals of shape functions in neighboring elements (not in the element they belong to): To test my results I also compute the integral of Lagrange ...

Intersection numbers are rational scalar products among functions that admit suitable integral representations, such as Feynman integrals. Using these scalar products, the decomposition of Feynman ...