Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences

Abstract

In this work, a joint quadrature for numerical solution of the double integral is presented. This method is based on combining two rules of the same precision level to form a higher level of precision. Numerical results of the present method with a lower level of precision are presented and compared with those performed by the existing high-precision Gauss-Legendre five-point rule in two variables, which has the same functional evaluation. The efficiency of the proposed method is justified with numerical examples. From an application point of view, the determination of the center of gravity is a special consideration for the present scheme. Convergence analysis is demonstrated to validate the current method.

Sinc approximation for solving fourth-order pseudo-Poisson equations

“…I is positive[6], we can show; with the same method as mentioned before, that bothmatrices x A and y A are symmetric and positive definite. And under the assumption that we have 12 h h h == and 6Nureddin Majed Al-haliji, Journal of Al-Qadisiyah for Computer Science and Mathematics VOL.16(1) 2024, pp Math.…”

“…In [6], Smith has discussed the one-dimensional state of this problem using the sinc-Galerkin method; and the numerical approximation accuracy of order ( )…”

“…In the papers [3,4,5] a general framework for first order differential equations and numerical solution of special second order ODE-based problems has been introduced. A quadrature method is based on combining two rules of the same precision level for numerical solution of the double integral in physical sciences is presented [6]. Collocation methods 2Nureddin Majed Al-haliji, Journal of Al-Qadisiyah for Computer Science and Mathematics VOL.…”