Abstract We develop a diagrammatic categorification of the polynomial ring Z[x], based on geometrically defined graded algebra. This construction generalizes to some special functions, such as Chebyshev polynomials. Diagrammatic algebras featured in these categorifications lead first topological interpretations Bernstein-Gelfand-Gelfand reciprocity property.

in this paper, we propose a successive approximation method based on fuzzy wavelet like operator to approximate the solution of linear fuzzy fredholm integral equations of the second kind with arbitrary kernels. we give the convergence conditions and an error estimate. also, we investigate the numerical stability of the computed values with respect to small perturbations in the first iteration....

In order to solve coupled fractional differential-integral equations more effectively and deal with the problem that huge algebraic lead considerable computational complexity large data storage requirements in calculation process, this paper approximates function of unknown solution based on Chebyshev wavelet second kind then combines collocation method numerical nonlinear Fredholm integral-dif...

In this paper, a new efficient and practical modification of the Adomian decomposition method is proposed with Laguerre polynomials second kind Chebyshev which has not been introduced in other articles to best our knowledge. This approach can be utilized approximately solve linear nonlinear differential equations. The formulations are examined by representative example numerical results confirm...