Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series
مجلة بغداد للعلوم, 2004 Taylor series is applied to treat two types of higher order linear integro-ordinary differential equations: linear Fredholm and Volterra integro-ordinary differential.
Muna M. Mustafa
doaj +4 more sources
Periodic boundary value problem for second order integro‐ordinary differential equations with general kernel and Carathéodory nonlinearities [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 We study the existence of solutions for the periodic boundary value problem for some second order integro‐differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.
Juan J. Nieto
semanticscholar +4 more sources
Iterative Integro-Differential Techniques Based on Green’s Function for Two-Point Boundary-Value Problems of Ordinary Differential Equations [PDF]
AxiomsSeveral iterative integro-differential formulations for two-point, second- and third-order, nonlinear, boundary-value problems of ordinary differential equations based on Green’s functions and the method of variation of parameters are presented.
Juan I. Ramos
doaj +3 more sources
High-degree polynomial approximations for solving linear integral, integro-differential, and ordinary differential equations [PDF]
Communications on Analysis and ComputationThis paper presents a universal numerical scheme tailored for tackling linear integral, integro-differential, and both initial and boundary value problems of ordinary differential equations. The numerical scheme is readily adapted for resolving ill-posed
V.V. Kryzhniy
semanticscholar +4 more sources
Theory of Functional Connections Applied to Linear ODEs Subject to Integral Constraints and Linear Ordinary Integro-Differential Equations [PDF]
Mathematical and Computational Applications, 2021 This study shows how the Theory of Functional Connections (TFC) allows us to obtain fast and highly accurate solutions to linear ODEs involving integrals.
Mario De Florio +4 more
openalex +2 more sources
FACTORIZATION OF ORDINARY AND HYPERBOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS IN A BANACH SPACE [PDF]
Vestnik of Samara University Natural Science Series, 2021 The solvability condition and the unique exact solution by the universal factorization (decomposition) method for a class of the abstract operator equations of the type B1u = Au S(A0u) GF(Au) = f, u D(B1),where A,A0 are linear abstract operators, G, S ...
E. Providas +2 more
openalex +2 more sources
Fractal and Fractional, 2022 This study is devoted to studying the existence and uniqueness of solutions for Hadamard implicit fractional differential equations with generalized Hadamard fractional integro-differential boundary conditions by utilizing the contraction principle of ...
Limin Guo +3 more
doaj +2 more sources
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
doaj +2 more sources
Open MathematicsIn this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fredholm integro ...
Bakirova Elmira A. +2 more
doaj +2 more sources
A problem with parameter for the integro-differential equations
Mathematical Modelling and Analysis, 2021 The article proposes a numerically approximate method for solving a boundary value problem for an integro-differential equation with a parameter and considers its convergence, stability, and accuracy. The integro-differential equation with a parameter is
Elmira A. Bakirova +2 more
doaj +2 more sources