Existence And Uniqueness Of The Solution To Nonlocal Problem For A Loaded Parabolic Equation And Its Numerical Approximation

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ABSTRACT

This research presents the existence and uniqueness of a solution to nonlocal problem for a loaded parabolic equation. The nonlocal condition of first kind is expressed to its equivalent nonlocal condition of second kind, which is necessary for qualitative study about the solvability of the problem. The theoretical analysis of study on existence and uniqueness of a generalized solution to a nonlocal problem is studied using Galerkin method, apriori method to obtain the approximate size of solution, numbers of inequalities and Gronwall’s lemma. The numerical approximation of the problem is obtained by using homotopy analysis method, where the initial base function is determined by using initial condition.

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APA

Frontiers, E. & MATARU, B (2021). Existence And Uniqueness Of The Solution To Nonlocal Problem For A Loaded Parabolic Equation And Its Numerical Approximation. Afribary. Retrieved from https://afribary.com/works/existence-and-uniqueness-of-the-solution-to-nonlocal-problem-for-a-loaded-parabolic-equation-and-its-numerical-approximation

MLA 8th

Frontiers, Edu, and BILALI MATARU "Existence And Uniqueness Of The Solution To Nonlocal Problem For A Loaded Parabolic Equation And Its Numerical Approximation" Afribary. Afribary, 22 May. 2021, https://afribary.com/works/existence-and-uniqueness-of-the-solution-to-nonlocal-problem-for-a-loaded-parabolic-equation-and-its-numerical-approximation. Accessed 26 Sep. 2022.

MLA7

Frontiers, Edu, and BILALI MATARU . "Existence And Uniqueness Of The Solution To Nonlocal Problem For A Loaded Parabolic Equation And Its Numerical Approximation". Afribary, Afribary, 22 May. 2021. Web. 26 Sep. 2022. < https://afribary.com/works/existence-and-uniqueness-of-the-solution-to-nonlocal-problem-for-a-loaded-parabolic-equation-and-its-numerical-approximation >.

Chicago

Frontiers, Edu and MATARU, BILALI . "Existence And Uniqueness Of The Solution To Nonlocal Problem For A Loaded Parabolic Equation And Its Numerical Approximation" Afribary (2021). Accessed September 26, 2022. https://afribary.com/works/existence-and-uniqueness-of-the-solution-to-nonlocal-problem-for-a-loaded-parabolic-equation-and-its-numerical-approximation