Results 51 to 60 of about 18,920 (215)
SOLVING VOLTERRA-FREDHOLM INTEGRAL EQUATIONS BY LINEAR SPLINE FUNCTION
Global and Stochastic Analysis, 2022 This study determines the numerical solution of linear mixed Volterra-Fredholm integral equations of the second kind using the linear spline function. The proposed method is based on using the unknown function’s linear spline function at an arbitrary point and converting the Volterra-Fredholm integral equation into a system of linear equations with ...
SARFRAZ H. SALIM +2 more
openaire +1 more source
Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
Sameeha Ali Raad, Ivan Giorgio
wiley +1 more source
Convergence Comparison of two Schemes for Common Fixed Points with an Application
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 Some cases of common fixed point theory for classes of generalized nonexpansive maps are studied. Also, we show that the Picard-Mann scheme can be employed to approximate the unique solution of a mixed-type Volterra-Fredholm functional nonlinear ...
Salwa Salman Abed +1 more
doaj +1 more source
Collocation Method for Nonlinear Volterra-Fredholm Integral Equations
Open Journal of Applied Sciences, 2012 A fully discrete version of a piecewise polynomial collocation method based on new collocation points, is constructed to solve nonlinear Volterra-Fredholm integral equations. In this paper, we obtain existence and uniqueness results and analyze the convergence properties of the collocation method when used to approximate smooth solutions of Volterra ...
Jafar Ahmadi Shali +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami +4 more
wiley +1 more source
Journal of Function Spaces, 2022 In this work, an algorithm for finding numerical solutions of linear fractional delay-integro-differential equations (LFDIDEs) of variable-order (VO) is introduced.
Kamal R. Raslan +4 more
doaj +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal +5 more
wiley +1 more source
Axioms, 2022 The Sumudu decomposition method was used and developed in this paper to find approximate solutions for a general form of fractional integro-differential equation of Volterra and Fredholm types.
Kamel Al-Khaled
doaj +1 more source
, 2017 In this paper, we introduce an efficient method based on two-dimensional block-pulse functions (2D-BPFs) to approximate the solution of the 2D-linear stochastic Volterra–Fredholm integral equation.
M. Fallahpour +2 more
semanticscholar +1 more source
, 2020 في هذا البحث تم عرض تقنية جديدة لإيجاد حل لثلاثة أنواع من المعادلات التكاملية الخطية من النوع الثاني المتضمنة: معادلة فولتيرا-فريدهولم التكاملية (LVFIE) ( الحالة العامة), معادلة فولتيرا التكاملية (LVIE) و معادلة فريدهولم التكامليىة (LFIE) (كحالتين خاصتين)
Muna Mansoor Mustafaf
semanticscholar +1 more source