Results 51 to 60 of about 465 (189)
Computing Solution Operators of Boundary-value Problems for Some Linear Hyperbolic Systems of PDEs [PDF]
Logical Methods in Computer Science, 2017 We discuss possibilities of application of Numerical Analysis methods to proving computability, in the sense of the TTE approach, of solution operators of boundary-value problems for systems of PDEs.
Svetlana Selivanova, Victor Selivanov
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A Higher‐Order L1‐2‐3 Numerical Method for Time‐Fractional Volterra Integrodifferential Equations
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper investigates the numerical solution of time‐fractional Volterra integrodifferential equations that arise in many real‐life problems. A higher‐order numerical scheme is proposed using the L1‐2‐3 method for the time‐fractional derivative, Simpson’s 1/3 rule approximates the integral part, and the spatial derivatives are approximated using the ...
Aynalem Tafere Chekole +4 more
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Nonstandard Finite Difference Schemes with Application to Finance: Option Pricing [PDF]
, 2010 2000 Mathematics Subject Classification: 65M06, 65M12.The paper is devoted to pricing options characterized by discontinuities in the initial conditions of the respective Black-Scholes partial differential equation. Finite difference schemes are examined
Milev, Mariyan, Tagliani, Aldo
core
, 2020 The problem of combined effect of heat generation/absorption and thermal radiation on unsteady, laminar, natural convective movement with MHD, viscous dissipation over a vertical cone in the presence of variable heat flux is considered. The converted FDE’
KANNAN , Rayampettai Munisamy +1 more
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Alexandria Engineering Journal, 2020 In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study develops a robust hybrid numerical scheme for a class of time‐dependent, singularly perturbed differential‐difference equations characterized by a small positive parameter multiplying the highest order derivative term and mixed spatial shifts (delay and advance) in the reaction terms.
Ababi H. Ejere +4 more
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Demonstratio MathematicaThe law of energy dissipation is a crucial characteristic of generalized wave equations. The newly developed scalar auxiliary variable (SAV) method and its extended form, the generalized SAV (GSAV) approach, are widely used techniques for developing ...
Fu Yayun +3 more
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Ain Shams Engineering Journal, 2018 A class of basis functions so called well-conditioned RBF (WRBFs) has been introduced. This basis has been manipulated by adding cardinal functions to the conditionally negative definite RBFs of order 1, such as Multiquadric functions 1+(∊r)2 (MQ) and ...
Saeed Kazem +2 more
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Stochastic Analysis of Pine Wilt Epidemic Model With Dynamically Consistent Approximation
Complexity, Volume 2025, Issue 1, 2025.The present study investigated the dynamics of the nonlinear stochastic pine wilt epidemic model. An extension of the stochastic to deterministic model is presented. Equilibria, positivity, boundedness, extinction, and disease persistence were studied rigorously.
Ali Raza +6 more
wiley +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.Numerical solutions for second‐order parabolic partial differential equations (PDEs), specifically the nonlinear heat equation, are investigated with a focus on analyzing residual corrections. Initially, the Galerkin weighted residual method is employed to rigorously formulate the heat equation and derive numerical solutions using third‐degree ...
Md. Shafiqul Islam +3 more
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