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On a Nonlocal Inverse Boundary Value Problem for the Sixth-Order Boussinesq Equation with Nonlocal Time Integral Conditions of the Second Kind
AbstractA classical solution of a nonlinear inverse boundary value problem for the sixth-order Boussinesq equation with double dispersive term...
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A novel method with error analysis for the numerical solution of a logarithmic singular Fredholm integral equation
This article attempts to investigate the numerical solution of a weakly singular Fredholm integral equation of the first kind, involving a...
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Uniqueness of Solution of Boundary-Value Problem with Integral Condition for Mixed-Type Equation with Bessel Operator
AbstractA boundary-value problem with nonlocal integral condition is studied for a mixed-type equation with Bessel operator in a rectangular domain....
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Approximate Solution of a Dominant Singular Integral Equation with Conjugation
We use the method of successive approximations and Faber polynomials to obtain an approximate solution of a dominant singular integral equation with...
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On Numerical Solution of a First Kind Integral Equation with a Weak Singularity in the Kernel on a Closed Surface
AbstractA direct method (self-regularization method) for the numerical solution of a weakly singular integral equation of the first kind on a closed...
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Convergence of the Projection-Difference Method for the Approximate Solution of a Smoothly Solvable Parabolic Equation with a Weighted Integral Condition
We search for an approximate solution of an abstract linear parabolic equation in a Hilbert space with a nonlocal weighted integral condition by the...
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Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients
In this paper, the modified integral equation, namely, Elzaki transformation coupled with the Adomian decomposition method called Elzaki Adomian...
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Oversampling collocation method for the Volterra integral equation with contaminated data
In this paper, an oversampling collocation method based on shifted generalized Jacobi functions as a set of basis is proposed to find the numerical...
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An integral equation representation for American better-of option on two underlying assets
In this paper, we study the problem for pricing of American better-of option on two assets. Due to two correlated underlying assets and...
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To a Unique Solvability of a Problem with Integral Condition for Integro-Differential Equation
AbstractProblem with integral condition for Fredholm integro-differential equation is considered. Conditions for a unique solvability of problem with...
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Numerical solution of Volterra–Fredholm integral equation systems by operational matrices of integration based on Bernstein multi-scaling polynomials
This paper introduces a new method which is used to obtain numerical solutions of Volterra–Fredholm linear integral equation systems. In the proposed...
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The dimension-overrings equation and maximal ideals of integral domains
We investigate integral domains with only finitely many overrings and establish several new sharp inequalities relating the cardinality of the set of...
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Stability results and existence for fractional differential equation involving Atangana-Baleanu derivative with nonlocal integral conditions
This article’s main objective is to derive the existence criterion for positive solutions and establish Hyers-Ulam (HU) stability of the fractional...
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A novel operational matrix method based on Genocchi polynomials for solving n-dimensional stochastic Itô–Volterra integral equation
A reliable numerical method has been presented in this article to solve n -dimensional stochastic Itô–Volterra integral equations. In the proposed...
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On the Dynamic Solution of the Volterra Integral Equation in the Form of Rational Spline Functions
AbstractThe approximate solution of the Volterra integral equation of the second kind is represented as collocation rational spline functions on...
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Convergence analysis of a second-order scheme for fractional differential equation with integral boundary conditions
A fractional differential equation with integral boundary conditions at both the boundary points is considered in this paper. The highest order...
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Integral Equation of the Elastic Medium Containing a Deformable Thread-Like Inclusion
In the present paper, we propose a method aimed at the mathematical simulation of deformable threadlike (wire) inclusions based on the replacement of...