Author name: WebMaster2

Determining the first radii of meromorphy via orthogonal polynomials on the unit circle Nattapong Bosuwan Applying a result concerning a convergence of modified orthogonal Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue of Hadamard’s theorem for determining the radius of 1-meromorphy of a function holomorphic on the closed unit …

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On exact rate of convergence of row sequences of multipoint Hermite-Padé approximants Nattapong Bosuwan In this article, we analyze a rate of attraction of poles of an approximated function to poles of incomplete multipoint Padé approximants and use it to derive a sharp bound on the geometric rate of convergence of multipoint Hermite-Padé approximants to …

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An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method Patcharee Dunnimit, Wannika. Sawangtong, Panumart Sawangtong The paper introduces a novel approach for solving the time-fractional Navier-Stokes (NS) equation utilizing the Katugampola fractional derivative expressed in the Caputo type and a method termed the Generalized Laplace Residual Power …

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An Approximate Analytic Solution for the Multidimensional Fractional-Order Time and Space Burger Equation Based on Caputo-Katugampola Derivative Wannika Sawangtong, Akpan N. Ikot, Panumart Sawangtong The (n+1)-dimensional space and time fractional-order Burger equation with Caputo-Katugampola derivative is tackled using the generalized Laplace homotopy perturbation procedure (GLHPM) to derive an approximate analytic solution. The coefficients of this …

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An Analysis of the Fractional-Order Option Pricing Problemvfor Two Assets by the Generalized Laplace Variational Iteration Approach Sivaporn Ampun, Panumart Sawangtong, and Wannika Sawangtong The Black–Scholes equation is a fundamental model in option pricing theory. This manuscript introduces a novel approach by formulating the classical Black–Scholes equation as a fractional-order equation using the generalized Riemann–Liouville …

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