A New Integral Equation and Integrals Associated with Number Theory

Research Article New Integral Inequalities for Iterated Integrals with Applications

Combinations of simulation and integral equation theory

Much work has been done to accelerate the prediction of structure and thermodynamics, particularly of the chemical potential of condensed phases by means of molecular simulation, requiring large computational power or simpli®ed simulation procedures. This work demonstrates that the combination of simulation with approximate calculations based on integral equation theory provides the necessary i...

Integral Equation Methods in Potential Theory. II

where p, q are vector variables specifying points on L and where dq stands for the arc differential at q. As has already been pointed out (part I), this equation maynot exhibit a solution for L, but the difficulty can always be trivially obviated by a change of scale. If so, o-(q) generates potentials Oq(P), q5(P) defined by (5) and (6) of part I (Jaswon i963), where P denotes an interior or ex...

Integral equation methods in potential theory

This paper makes a short study of Fredholm integral equations related to potential theory and elasticity, with a view to preparing the ground for their exploitation in the numerical solution of difficult boundary-value problems. Attention is drawn to the advantages of Fredholm's first equation and of Green's boundary formula. The latter plays a fundamental and hitherto unrecognized role in the ...

Mean value theorem for integrals and its application on numerically solving of Fredholm integral equation of second kind with Toeplitz plus Hankel ‎Kernel

‎The subject of this paper is the solution of the Fredholm integral equation with Toeplitz, Hankel and the Toeplitz plus Hankel kernel. The mean value theorem for integrals is applied and then extended for solving high dimensional problems and finally, some example and graph of error function are presented to show the ability and simplicity of the ‎method.