Results 11 to 20 of about 2,746 (252)
Symmetry Analysis and Exact Solutions to the Space-Dependent Coefficient PDEs in Finance [PDF]
Abstract and Applied Analysis, 2013 The variable-coefficients partial differential equations (vc-PDEs) in finance are investigated by Lie symmetry analysis and the generalized power series method. All of the geometric vector fields of the equations are obtained; the symmetry reductions and
Hanze Liu
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Solving Fractional Partial Differential Equations with Corrected Fourier Series Method
Abstract and Applied Analysis, 2014 The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier ...
Nor Hafizah Zainal, Adem Kılıçman
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Analytic Solution for Systems of Two-Dimensional Time Conformable Fractional PDEs by Using CFRDTM
International Journal of Mathematics and Mathematical Sciences, 2019 In this study we use the conformable fractional reduced differential transform (CFRDTM) method to compute solutions for systems of nonlinear conformable fractional PDEs.
Abir Chaouk, Maher Jneid
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On the summability of divergent power series solutions for certain first-order linear PDEs
Opuscula Mathematica, 2015 This article is concerned with the study of the Borel summability of divergent power series solutions for certain singular first-order linear partial differential equations of nilpotent type. Our main purpose is to obtain conditions which coefficients of equations should satisfy in order to ensure the Borel summability of divergent solutions.
Masaki Hibino, Hibino, M.
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Journal of Mathematical Analysis and Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, L. Steven +2 more
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Formal Gevrey solutions: in analytic germs - for higher order holomorphic PDEs [PDF]
, 2022 We consider a family of holomorphic PDEs whose singular locus is given by the zero set of an analytic map P with P(0) = 0. Our goal is to establish conditions for the existence and uniqueness of formal power series solutions and to determine their ...
Carrillo, Sergio Alejandro +1 more
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Frontiers in Earth Science, 2023 Multispecies pollutant migration often occurs in polluted groundwater systems. Most of the multispecies problems that have been dealt in the literature assume constant transport parameters, primarily because analytical solutions for varying parameters ...
Manotosh Kumbhakar, Vijay P. Singh
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Advances in Mathematical Physics, 2023 This paper provides a mathematical fractional-order model that accounts for the mindset of patients in the transmission of COVID-19 disease, the continuous inflow of foreigners into the country, immunization of population subjects, and temporary loss of ...
Benedict Barnes +4 more
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Computation, 2023 In this paper, we present an innovative approach to solve a system of boundary value problems (BVPs), using the newly developed discontinuous Galerkin (DG) method, which eliminates the need for auxiliary variables.
Helmi Temimi
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Wave Effects of the Fractional Shallow Water Equation and the Fractional Optical Fiber Equation
Frontiers in Applied Mathematics and Statistics, 2022 The non-linear space-time fractional Estevez-Mansfield-Clarkson (EMC) equation and the non-linear space-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) equation showed the motion of waves in the shallow water equation and the optical fiber equation ...
Sirasrete Phoosree, Weerachai Thadee
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