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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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Study of Non-Newtonian blood flow – heat transfer characteristics in the human coronary system with an external magnetic field Nattawan Chuchalerm, Wannika Sawangtong, Benchawan Wiwatanapataphee and Thanongchai Siriapisith Coronary artery disease (CAD) is a leading cause of death globally, prompting innovative treatment approaches combining biotechnology and tissue engineering. Magnetic therapy is increasingly used to prevent …

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Title: Analysis of option-like fund performance fees in asset management via Monte Carlo actuarial distortion pricing Authors: Gareth W. Peters, Mantana Chudtong and Andrea De Gaetano                  In this work, we analyze the management and performance fees for asset managers and investment funds is undertaken. While fund fees …

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Title: Remarks on the Boundedness of Poles of Pade-orthogonal and Pade-Faber approximantsAuthors: Assawin Supuang and Nattapong Bosuwan Thai Journal of MathematicsSpecial Issue (2023): Annual Meeting in Mathematics 2022Pages: 147-159 We study the relation between boundedness of poles of Pade-orthogonal and Pade-Faber approximants and analytic properties of an approximated function. เราศึกษาความสัมพันธ์ระหว่าง ความมีขอบเขตของโพลของการประมาณแบบพาร์เดย์เชิงตั้งฉากและพาร์เดย์ฟาร์เบอร์ และคุณสมบัติการวิเคราะห์ของฟังก์ชันที่ถูกประมาณ