Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]
Int J Numer Method Biomed EngWe present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Afas KC, Goldman D.
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Stochastic modelling of viral infection spread via a Partial Integro-Differential Equation [PDF]
Infectious Disease ModellingIn the present article we propose a Partial Integro-Differential Equation (PIDE) model to approximate a stochastic SIS compartmental model for viral infection spread.
Manuel Pájaro +2 more
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Cubic B-splines collocation method for a class of partial integro-differential equation
Alexandria Engineering Journal, 2018 In this paper, a numerical method is proposed to estimate the solution of initial-boundary value problems for a class of partial integro-differential equations.
M. Gholamian, J. Saberi-Nadjafi
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Integro-differential equations with bounded operators in Banach spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
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Properties of the solution of some multipoint problems for integro-differential equation of Barbashin type [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 The nonlocal boundary value problems for the nonlinear integro-differential Barbashin equation with a partial derivative of the second order is studied. The solution of the problem is understood in the classical sense.
Nurmuhammet Gurbanmammedov +2 more
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On a Partial Integro-Differential Equation on Time Scales [PDF]
مجلة التربية والعلم, 2023 In this work, we study the derivation of estimation of some integral inequality in three variables over time scales. The result of this estimation is used as a tool to investigate some properties for solving partial intergrodifferential equation with ...
Ola Wael Al-Naser, Akram H. Mahmood
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The implicit numerical method for the one-dimensional anomalous subdiffusion equation with a nonlinear source term [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 In the paper, the numerical method of solving the one-dimensional subdiffusion equation with the source term is presented. In the approach used, the key role is played by transforming of the partial differential equation into an equivalent integro ...
Marek Błasik
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On a New Class of Singular Integro-differential Equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
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Computation, 2021 The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation using the Exp-function method and the (2 + 1)-dimensional conformable time ...
Supaporn Kaewta +2 more
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On a Nonlocal Problem for Mixed-Type Equation with Partial Riemann-Liouville Fractional Derivative
Fractal and Fractional, 2022 The present paper presents a study on a problem with a fractional integro-differentiation operator in the boundary condition for an equation with a partial Riemann-Liouville fractional derivative. The unique solvability of the problem is proved.
Menglibay Ruziev, Rakhimjon Zunnunov
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