We reduce the initial value problem for the generalized Schroedinger equation with piecewise-constant leading coefficient to the system of Volterra type integral equations and construct new useful ...

Without the usual assumption of monotonicity, we establish some results on the theory of hyperbolic differential inequalities which enable us to produce a majorising interval function for the solution ...

Abstract: In this paper, a new method for the numerical solution of two-dimensional electromagnetic problems by wavelets on the interval and equivalence theorem is proposed. By adopting the ...

Abstract: Stochastic method forming the set of basic equations in the localization task of solutions the interval systems of linear algebraic equations (ISLAE) on the basis of the “saturated block”, ...

Finding exact analytic solutions to the partial equations is one of the most challenging problems in mathematical physics. Generally speaking, the exact solution to many categories of such equations ...

SIAM Journal on Applied Mathematics contains research articles on mathematical methods and their applications in the physical, engineering, financial, and life sciences. Publisher Information "The ...

1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...

The circumference of a sphere is measured to be 24 cm, with a possible error of 0.25 cm. Use the differential \(dV\) to estimate the maximum error in the calculated ...

The applications of the Wave Equation are vast, from image processing to system vibrations. This code is directly applied to a perpendicularly-vibrating system linearly defined along the x-axis with ...